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Finding the Fourth Proportional to 256,340.79, 384,565.68 and 87,815.91

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Solution

The fourth proportional to 256,340.79, 384,565.68 and 87,815.91 is: 131,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,340.79 : 384,565.68 = 87,815.91 : x
  2. Step 2: Convert to fraction form
    256,340.79/384,565.68 = 87,815.91/x
  3. Step 3: Cross multiply
    256,340.79x = 384,565.68 × 87,815.91
  4. Step 4: Simplify right side
    256,340.79x = 33,770,985,143.97
  5. Step 5: Solve for x
    x = 33,770,985,143.97/256,340.79
  6. Step 6: Final answer
    x = 131,742.53

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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.