Finding the Fourth Proportional to 1,165,338,655.21, 1,608,148,576.42 and 636,691,290.13
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Solution
The fourth proportional to 1,165,338,655.21, 1,608,148,576.42 and 636,691,290.13 is: 878,623,726.47
Step by Step Solution
- Step 1: Write the proportion equation
1,165,338,655.21 : 1,608,148,576.42 = 636,691,290.13 : x - Step 2: Convert to fraction form
1,165,338,655.21/1,608,148,576.42 = 636,691,290.13/x - Step 3: Cross multiply
1,165,338,655.21x = 1,608,148,576.42 × 636,691,290.13 - Step 4: Simplify right side
1,165,338,655.21x = 1,023,894,191,841,572,736 - Step 5: Solve for x
x = 1,023,894,191,841,572,736/1,165,338,655.21 - Step 6: Final answer
x = 878,623,726.47
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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.