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Finding the Fourth Proportional to 278,488.64, 417,358.78 and 151,939.25

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Solution

The fourth proportional to 278,488.64, 417,358.78 and 151,939.25 is: 227,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,488.64 : 417,358.78 = 151,939.25 : x
  2. Step 2: Convert to fraction form
    278,488.64/417,358.78 = 151,939.25/x
  3. Step 3: Cross multiply
    278,488.64x = 417,358.78 × 151,939.25
  4. Step 4: Simplify right side
    278,488.64x = 63,413,180,286.39
  5. Step 5: Solve for x
    x = 63,413,180,286.39/278,488.64
  6. Step 6: Final answer
    x = 227,704.73

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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.