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Finding the Fourth Proportional to 428,648.28, 642,996.72 and 129,170.22

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Solution

The fourth proportional to 428,648.28, 642,996.72 and 129,170.22 is: 193,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,648.28 : 642,996.72 = 129,170.22 : x
  2. Step 2: Convert to fraction form
    428,648.28/642,996.72 = 129,170.22/x
  3. Step 3: Cross multiply
    428,648.28x = 642,996.72 × 129,170.22
  4. Step 4: Simplify right side
    428,648.28x = 83,056,027,781.68
  5. Step 5: Solve for x
    x = 83,056,027,781.68/428,648.28
  6. Step 6: Final answer
    x = 193,762.65

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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.