Finding the Fourth Proportional to 1,024,522,129.12, 1,413,840,238.68 and 554,623,101.40
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Solution
The fourth proportional to 1,024,522,129.12, 1,413,840,238.68 and 554,623,101.40 is: 765,379,717.80
Step by Step Solution
- Step 1: Write the proportion equation
1,024,522,129.12 : 1,413,840,238.68 = 554,623,101.40 : x - Step 2: Convert to fraction form
1,024,522,129.12/1,413,840,238.68 = 554,623,101.40/x - Step 3: Cross multiply
1,024,522,129.12x = 1,413,840,238.68 × 554,623,101.40 - Step 4: Simplify right side
1,024,522,129.12x = 784,148,458,060,817,792 - Step 5: Solve for x
x = 784,148,458,060,817,792/1,024,522,129.12 - Step 6: Final answer
x = 765,379,717.80
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Double scale
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1.5x scale
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.