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Finding the Fourth Proportional to 428,546.60, 642,704.70 and 129,026.60

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Solution

The fourth proportional to 428,546.60, 642,704.70 and 129,026.60 is: 193,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,546.60 : 642,704.70 = 129,026.60 : x
  2. Step 2: Convert to fraction form
    428,546.60/642,704.70 = 129,026.60/x
  3. Step 3: Cross multiply
    428,546.60x = 642,704.70 × 129,026.60
  4. Step 4: Simplify right side
    428,546.60x = 82,926,002,245.02
  5. Step 5: Solve for x
    x = 82,926,002,245.02/428,546.60
  6. Step 6: Final answer
    x = 193,505.22

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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.