Finding the Fourth Proportional to 509,732,874,438.10, 703,431,435,578.80 and 281,362,159,520.70
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Solution
The fourth proportional to 509,732,874,438.10, 703,431,435,578.80 and 281,362,159,520.70 is: 388,279,818,144.69
Step by Step Solution
- Step 1: Write the proportion equation
509,732,874,438.10 : 703,431,435,578.80 = 281,362,159,520.70 : x - Step 2: Convert to fraction form
509,732,874,438.10/703,431,435,578.80 = 281,362,159,520.70/x - Step 3: Cross multiply
509,732,874,438.10x = 703,431,435,578.80 × 281,362,159,520.70 - Step 4: Simplify right side
509,732,874,438.10x = 197,918,987,789,197,337,690,112 - Step 5: Solve for x
x = 197,918,987,789,197,337,690,112/509,732,874,438.10 - Step 6: Final answer
x = 388,279,818,144.69
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.