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Finding the Fourth Proportional to 256,708.28, 384,980.52 and 88,187.97

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Solution

The fourth proportional to 256,708.28, 384,980.52 and 88,187.97 is: 132,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,708.28 : 384,980.52 = 88,187.97 : x
  2. Step 2: Convert to fraction form
    256,708.28/384,980.52 = 88,187.97/x
  3. Step 3: Cross multiply
    256,708.28x = 384,980.52 × 88,187.97
  4. Step 4: Simplify right side
    256,708.28x = 33,950,650,548.34
  5. Step 5: Solve for x
    x = 33,950,650,548.34/256,708.28
  6. Step 6: Final answer
    x = 132,253.82

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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.