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Finding the Fourth Proportional to 256,778.32, 385,092.22 and 96,738.78

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Solution

The fourth proportional to 256,778.32, 385,092.22 and 96,738.78 is: 145,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,778.32 : 385,092.22 = 96,738.78 : x
  2. Step 2: Convert to fraction form
    256,778.32/385,092.22 = 96,738.78/x
  3. Step 3: Cross multiply
    256,778.32x = 385,092.22 × 96,738.78
  4. Step 4: Simplify right side
    256,778.32x = 37,253,353,115.31
  5. Step 5: Solve for x
    x = 37,253,353,115.31/256,778.32
  6. Step 6: Final answer
    x = 145,079.82

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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.