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Finding the Fourth Proportional to 497,431.80, 746,147.70 and 231,711.30

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Solution

The fourth proportional to 497,431.80, 746,147.70 and 231,711.30 is: 347,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,431.80 : 746,147.70 = 231,711.30 : x
  2. Step 2: Convert to fraction form
    497,431.80/746,147.70 = 231,711.30/x
  3. Step 3: Cross multiply
    497,431.80x = 746,147.70 × 231,711.30
  4. Step 4: Simplify right side
    497,431.80x = 172,890,853,559.01
  5. Step 5: Solve for x
    x = 172,890,853,559.01/497,431.80
  6. Step 6: Final answer
    x = 347,566.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.