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Finding the Fourth Proportional to 256,709.28, 384,982.02 and 88,188.97

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Solution

The fourth proportional to 256,709.28, 384,982.02 and 88,188.97 is: 132,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,709.28 : 384,982.02 = 88,188.97 : x
  2. Step 2: Convert to fraction form
    256,709.28/384,982.02 = 88,188.97/x
  3. Step 3: Cross multiply
    256,709.28x = 384,982.02 × 88,188.97
  4. Step 4: Simplify right side
    256,709.28x = 33,951,167,812.32
  5. Step 5: Solve for x
    x = 33,951,167,812.32/256,709.28
  6. Step 6: Final answer
    x = 132,255.32

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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.