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Finding the Fourth Proportional to 252,229.46, 378,279.60 and 74,694.98

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Solution

The fourth proportional to 252,229.46, 378,279.60 and 74,694.98 is: 112,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,229.46 : 378,279.60 = 74,694.98 : x
  2. Step 2: Convert to fraction form
    252,229.46/378,279.60 = 74,694.98/x
  3. Step 3: Cross multiply
    252,229.46x = 378,279.60 × 74,694.98
  4. Step 4: Simplify right side
    252,229.46x = 28,255,587,156.41
  5. Step 5: Solve for x
    x = 28,255,587,156.41/252,229.46
  6. Step 6: Final answer
    x = 112,023.34

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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.