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Finding the Fourth Proportional to 428,167.80, 642,251.70 and 128,694.60

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Solution

The fourth proportional to 428,167.80, 642,251.70 and 128,694.60 is: 193,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,167.80 : 642,251.70 = 128,694.60 : x
  2. Step 2: Convert to fraction form
    428,167.80/642,251.70 = 128,694.60/x
  3. Step 3: Cross multiply
    428,167.80x = 642,251.70 × 128,694.60
  4. Step 4: Simplify right side
    428,167.80x = 82,654,325,630.82
  5. Step 5: Solve for x
    x = 82,654,325,630.82/428,167.80
  6. Step 6: Final answer
    x = 193,041.90

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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.