Finding the Fourth Proportional to 726,778,206.61, 1,002,957,998.93 and 413,512,414.09
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Solution
The fourth proportional to 726,778,206.61, 1,002,957,998.93 and 413,512,414.09 is: 570,649,449.30
Step by Step Solution
- Step 1: Write the proportion equation
726,778,206.61 : 1,002,957,998.93 = 413,512,414.09 : x - Step 2: Convert to fraction form
726,778,206.61/1,002,957,998.93 = 413,512,414.09/x - Step 3: Cross multiply
726,778,206.61x = 1,002,957,998.93 × 413,512,414.09 - Step 4: Simplify right side
726,778,206.61x = 414,735,583,368,419,904 - Step 5: Solve for x
x = 414,735,583,368,419,904/726,778,206.61 - Step 6: Final answer
x = 570,649,449.30
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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.