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Finding the Fourth Proportional to 256,206.78, 384,310.17 and 123,003.90

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Solution

The fourth proportional to 256,206.78, 384,310.17 and 123,003.90 is: 184,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206.78 : 384,310.17 = 123,003.90 : x
  2. Step 2: Convert to fraction form
    256,206.78/384,310.17 = 123,003.90/x
  3. Step 3: Cross multiply
    256,206.78x = 384,310.17 × 123,003.90
  4. Step 4: Simplify right side
    256,206.78x = 47,271,649,719.66
  5. Step 5: Solve for x
    x = 47,271,649,719.66/256,206.78
  6. Step 6: Final answer
    x = 184,505.85

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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.