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Finding the Fourth Proportional to 256,115.86, 384,174.70 and 78,622.85

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Solution

The fourth proportional to 256,115.86, 384,174.70 and 78,622.85 is: 117,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,115.86 : 384,174.70 = 78,622.85 : x
  2. Step 2: Convert to fraction form
    256,115.86/384,174.70 = 78,622.85/x
  3. Step 3: Cross multiply
    256,115.86x = 384,174.70 × 78,622.85
  4. Step 4: Simplify right side
    256,115.86x = 30,204,910,575.77
  5. Step 5: Solve for x
    x = 30,204,910,575.77/256,115.86
  6. Step 6: Final answer
    x = 117,934.56

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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.