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Finding the Fourth Proportional to 278,207.74, 417,342.30 and 88,624

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Solution

The fourth proportional to 278,207.74, 417,342.30 and 88,624 is: 132,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,207.74 : 417,342.30 = 88,624 : x
  2. Step 2: Convert to fraction form
    278,207.74/417,342.30 = 88,624/x
  3. Step 3: Cross multiply
    278,207.74x = 417,342.30 × 88,624
  4. Step 4: Simplify right side
    278,207.74x = 36,986,543,995.20
  5. Step 5: Solve for x
    x = 36,986,543,995.20/278,207.74
  6. Step 6: Final answer
    x = 132,945.78

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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.