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Finding the Fourth Proportional to 256,432.80, 384,649.20 and 123,572.55

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Solution

The fourth proportional to 256,432.80, 384,649.20 and 123,572.55 is: 185,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,432.80 : 384,649.20 = 123,572.55 : x
  2. Step 2: Convert to fraction form
    256,432.80/384,649.20 = 123,572.55/x
  3. Step 3: Cross multiply
    256,432.80x = 384,649.20 × 123,572.55
  4. Step 4: Simplify right side
    256,432.80x = 47,532,082,499.46
  5. Step 5: Solve for x
    x = 47,532,082,499.46/256,432.80
  6. Step 6: Final answer
    x = 185,358.83

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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.