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Finding the Fourth Proportional to 425,459.97, 587,123.92 and 231,872.65

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Solution

The fourth proportional to 425,459.97, 587,123.92 and 231,872.65 is: 319,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,459.97 : 587,123.92 = 231,872.65 : x
  2. Step 2: Convert to fraction form
    425,459.97/587,123.92 = 231,872.65/x
  3. Step 3: Cross multiply
    425,459.97x = 587,123.92 × 231,872.65
  4. Step 4: Simplify right side
    425,459.97x = 136,137,977,161.30
  5. Step 5: Solve for x
    x = 136,137,977,161.30/425,459.97
  6. Step 6: Final answer
    x = 319,978.35

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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.