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Finding the Fourth Proportional to 256,217.12, 384,324.24 and 87,738.92

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Solution

The fourth proportional to 256,217.12, 384,324.24 and 87,738.92 is: 131,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,217.12 : 384,324.24 = 87,738.92 : x
  2. Step 2: Convert to fraction form
    256,217.12/384,324.24 = 87,738.92/x
  3. Step 3: Cross multiply
    256,217.12x = 384,324.24 × 87,738.92
  4. Step 4: Simplify right side
    256,217.12x = 33,720,193,747.42
  5. Step 5: Solve for x
    x = 33,720,193,747.42/256,217.12
  6. Step 6: Final answer
    x = 131,607.89

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1.5x scale

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.