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Finding the Fourth Proportional to 256,532.76, 384,909.84 and 138,180.42

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Solution

The fourth proportional to 256,532.76, 384,909.84 and 138,180.42 is: 207,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,532.76 : 384,909.84 = 138,180.42 : x
  2. Step 2: Convert to fraction form
    256,532.76/384,909.84 = 138,180.42/x
  3. Step 3: Cross multiply
    256,532.76x = 384,909.84 × 138,180.42
  4. Step 4: Simplify right side
    256,532.76x = 53,187,003,353.33
  5. Step 5: Solve for x
    x = 53,187,003,353.33/256,532.76
  6. Step 6: Final answer
    x = 207,330.26

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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.