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Finding the Fourth Proportional to 315,490.69, 472,757.19 and 231,306.90

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Solution

The fourth proportional to 315,490.69, 472,757.19 and 231,306.90 is: 346,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,490.69 : 472,757.19 = 231,306.90 : x
  2. Step 2: Convert to fraction form
    315,490.69/472,757.19 = 231,306.90/x
  3. Step 3: Cross multiply
    315,490.69x = 472,757.19 × 231,306.90
  4. Step 4: Simplify right side
    315,490.69x = 109,352,000,071.61
  5. Step 5: Solve for x
    x = 109,352,000,071.61/315,490.69
  6. Step 6: Final answer
    x = 346,609.28

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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.