Finding the Fourth Proportional to 729,063,070.69, 1,006,107,006.61 and 394,535,603.49
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Solution
The fourth proportional to 729,063,070.69, 1,006,107,006.61 and 394,535,603.49 is: 544,459,116.08
Step by Step Solution
- Step 1: Write the proportion equation
729,063,070.69 : 1,006,107,006.61 = 394,535,603.49 : x - Step 2: Convert to fraction form
729,063,070.69/1,006,107,006.61 = 394,535,603.49/x - Step 3: Cross multiply
729,063,070.69x = 1,006,107,006.61 × 394,535,603.49 - Step 4: Simplify right side
729,063,070.69x = 396,945,035,031,405,824 - Step 5: Solve for x
x = 396,945,035,031,405,824/729,063,070.69 - Step 6: Final answer
x = 544,459,116.08
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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.