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Finding the Fourth Proportional to 425,001.30, 586,512.30 and 231,419.61

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Solution

The fourth proportional to 425,001.30, 586,512.30 and 231,419.61 is: 319,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,001.30 : 586,512.30 = 231,419.61 : x
  2. Step 2: Convert to fraction form
    425,001.30/586,512.30 = 231,419.61/x
  3. Step 3: Cross multiply
    425,001.30x = 586,512.30 × 231,419.61
  4. Step 4: Simplify right side
    425,001.30x = 135,730,447,726.20
  5. Step 5: Solve for x
    x = 135,730,447,726.20/425,001.30
  6. Step 6: Final answer
    x = 319,364.78

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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.