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Finding the Fourth Proportional to 278,122.95, 417,046.28 and 88,558.58

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Solution

The fourth proportional to 278,122.95, 417,046.28 and 88,558.58 is: 132,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,122.95 : 417,046.28 = 88,558.58 : x
  2. Step 2: Convert to fraction form
    278,122.95/417,046.28 = 88,558.58/x
  3. Step 3: Cross multiply
    278,122.95x = 417,046.28 × 88,558.58
  4. Step 4: Simplify right side
    278,122.95x = 36,933,024,155.15
  5. Step 5: Solve for x
    x = 36,933,024,155.15/278,122.95
  6. Step 6: Final answer
    x = 132,793.87

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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.