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Finding the Fourth Proportional to 309,761.28, 464,659.20 and 88,128

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Solution

The fourth proportional to 309,761.28, 464,659.20 and 88,128 is: 132,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,761.28 : 464,659.20 = 88,128 : x
  2. Step 2: Convert to fraction form
    309,761.28/464,659.20 = 88,128/x
  3. Step 3: Cross multiply
    309,761.28x = 464,659.20 × 88,128
  4. Step 4: Simplify right side
    309,761.28x = 40,949,485,977.60
  5. Step 5: Solve for x
    x = 40,949,485,977.60/309,761.28
  6. Step 6: Final answer
    x = 132,196.92

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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.