Finding the Fourth Proportional to 1,475,817,472.62, 2,036,641,663.71 and 840,728,552.13
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Solution
The fourth proportional to 1,475,817,472.62, 2,036,641,663.71 and 840,728,552.13 is: 1,160,213,121.82
Step by Step Solution
- Step 1: Write the proportion equation
1,475,817,472.62 : 2,036,641,663.71 = 840,728,552.13 : x - Step 2: Convert to fraction form
1,475,817,472.62/2,036,641,663.71 = 840,728,552.13/x - Step 3: Cross multiply
1,475,817,472.62x = 2,036,641,663.71 × 840,728,552.13 - Step 4: Simplify right side
1,475,817,472.62x = 1,712,262,797,138,542,592 - Step 5: Solve for x
x = 1,712,262,797,138,542,592/1,475,817,472.62 - Step 6: Final answer
x = 1,160,213,121.82
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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.