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This study delves into the intricate relationship between Foreign Direct Investment (FDI) in the service sector and Gross Domestic Product (GDP) across three diverse economies: India, China, and the USA. The primary objectives of this research are threefold: firstly, to analyze the correlation between FDI inflows into the service sector and GDP growth rates; secondly, to identify and evaluate the key determinants influencing GDP in these economies; and thirdly, to employ Autoregressive Integrated Moving Average (ARIMA) modeling techniques for forecasting GDP trends. The analysis begins by examining the historical data of FDI inflows in the service sector and corresponding GDP growth rates over a significant time period. By employing statistical methods such as correlation analysis and regression modeling, the study uncovers the nature and strength of the relationship between FDI and GDP. Furthermore, the research evaluates the key determinants of GDP growth in India, China, and the USA, considering factors such as investment climate, infrastructure development, technological advancements, human capital, and policy frameworks. Through comparative analysis, the study highlights the unique characteristics and challenges faced by each economy in driving GDP growth. In addition to understanding the determinants, this study utilizes ARIMA modeling to forecast GDP trends in the three economies. By analyzing historical GDP data and employing time-series forecasting techniques, the research aims to provide insights into future economic performance, considering the impact of FDI in the service sector and other macroeconomic factors. Overall, this study contributes to a deeper understanding of the complex interplay between FDI in the service sector, GDP growth, and the underlying determinants shaping economic performance in India, China, and the USA. The findings offer valuable insights for policymakers, investors, and analysts, facilitating informed decision-making and strategic planning in the context of global economic dynamics.