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Finding the Fourth Proportional to 256,706.28, 384,977.52 and 88,185.97

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Solution

The fourth proportional to 256,706.28, 384,977.52 and 88,185.97 is: 132,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,706.28 : 384,977.52 = 88,185.97 : x
  2. Step 2: Convert to fraction form
    256,706.28/384,977.52 = 88,185.97/x
  3. Step 3: Cross multiply
    256,706.28x = 384,977.52 × 88,185.97
  4. Step 4: Simplify right side
    256,706.28x = 33,949,616,510.62
  5. Step 5: Solve for x
    x = 33,949,616,510.62/256,706.28
  6. Step 6: Final answer
    x = 132,250.82

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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.