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Finding the Fourth Proportional to 387,105.92, 580,432.84 and 150,171.72

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Solution

The fourth proportional to 387,105.92, 580,432.84 and 150,171.72 is: 225,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,105.92 : 580,432.84 = 150,171.72 : x
  2. Step 2: Convert to fraction form
    387,105.92/580,432.84 = 150,171.72/x
  3. Step 3: Cross multiply
    387,105.92x = 580,432.84 × 150,171.72
  4. Step 4: Simplify right side
    387,105.92x = 87,164,597,927.28
  5. Step 5: Solve for x
    x = 87,164,597,927.28/387,105.92
  6. Step 6: Final answer
    x = 225,169.89

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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.