Finding the Fourth Proportional to 378,144,404.24, 521,838,772.80 and 204,304,148.24
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Solution
The fourth proportional to 378,144,404.24, 521,838,772.80 and 204,304,148.24 is: 281,939,451.70
Step by Step Solution
- Step 1: Write the proportion equation
378,144,404.24 : 521,838,772.80 = 204,304,148.24 : x - Step 2: Convert to fraction form
378,144,404.24/521,838,772.80 = 204,304,148.24/x - Step 3: Cross multiply
378,144,404.24x = 521,838,772.80 × 204,304,148.24 - Step 4: Simplify right side
378,144,404.24x = 106,613,825,995,510,880 - Step 5: Solve for x
x = 106,613,825,995,510,880/378,144,404.24 - Step 6: Final answer
x = 281,939,451.70
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.