Finding the Fourth Proportional to 1,027,645,874.16, 1,418,152,699.80 and 557,747,209.68
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Solution
The fourth proportional to 1,027,645,874.16, 1,418,152,699.80 and 557,747,209.68 is: 769,691,905.65
Step by Step Solution
- Step 1: Write the proportion equation
1,027,645,874.16 : 1,418,152,699.80 = 557,747,209.68 : x - Step 2: Convert to fraction form
1,027,645,874.16/1,418,152,699.80 = 557,747,209.68/x - Step 3: Cross multiply
1,027,645,874.16x = 1,418,152,699.80 × 557,747,209.68 - Step 4: Simplify right side
1,027,645,874.16x = 790,970,711,213,608,576 - Step 5: Solve for x
x = 790,970,711,213,608,576/1,027,645,874.16 - Step 6: Final answer
x = 769,691,905.65
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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.