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Finding the Fourth Proportional to 252,857.71, 379,313.25 and 84,319.30

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Solution

The fourth proportional to 252,857.71, 379,313.25 and 84,319.30 is: 126,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,857.71 : 379,313.25 = 84,319.30 : x
  2. Step 2: Convert to fraction form
    252,857.71/379,313.25 = 84,319.30/x
  3. Step 3: Cross multiply
    252,857.71x = 379,313.25 × 84,319.30
  4. Step 4: Simplify right side
    252,857.71x = 31,983,427,720.73
  5. Step 5: Solve for x
    x = 31,983,427,720.73/252,857.71
  6. Step 6: Final answer
    x = 126,487.85

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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.