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Finding the Fourth Proportional to 428,650.53, 643,000.10 and 129,172.47

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Solution

The fourth proportional to 428,650.53, 643,000.10 and 129,172.47 is: 193,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,650.53 : 643,000.10 = 129,172.47 : x
  2. Step 2: Convert to fraction form
    428,650.53/643,000.10 = 129,172.47/x
  3. Step 3: Cross multiply
    428,650.53x = 643,000.10 × 129,172.47
  4. Step 4: Simplify right side
    428,650.53x = 83,057,910,481.38
  5. Step 5: Solve for x
    x = 83,057,910,481.38/428,650.53
  6. Step 6: Final answer
    x = 193,766.03

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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.