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Finding the Fourth Proportional to 396,257.52, 547,023.60 and 251,135.76

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Solution

The fourth proportional to 396,257.52, 547,023.60 and 251,135.76 is: 346,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,257.52 : 547,023.60 = 251,135.76 : x
  2. Step 2: Convert to fraction form
    396,257.52/547,023.60 = 251,135.76/x
  3. Step 3: Cross multiply
    396,257.52x = 547,023.60 × 251,135.76
  4. Step 4: Simplify right side
    396,257.52x = 137,377,187,523.94
  5. Step 5: Solve for x
    x = 137,377,187,523.94/396,257.52
  6. Step 6: Final answer
    x = 346,686.64

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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.