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Finding the Fourth Proportional to 428,234.44, 642,383.52 and 128,691.04

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Solution

The fourth proportional to 428,234.44, 642,383.52 and 128,691.04 is: 193,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,234.44 : 642,383.52 = 128,691.04 : x
  2. Step 2: Convert to fraction form
    428,234.44/642,383.52 = 128,691.04/x
  3. Step 3: Cross multiply
    428,234.44x = 642,383.52 × 128,691.04
  4. Step 4: Simplify right side
    428,234.44x = 82,669,003,267.66
  5. Step 5: Solve for x
    x = 82,669,003,267.66/428,234.44
  6. Step 6: Final answer
    x = 193,046.13

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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.