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Finding the Fourth Proportional to 431,372.80, 647,059.20 and 135,846.40

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Solution

The fourth proportional to 431,372.80, 647,059.20 and 135,846.40 is: 203,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,372.80 : 647,059.20 = 135,846.40 : x
  2. Step 2: Convert to fraction form
    431,372.80/647,059.20 = 135,846.40/x
  3. Step 3: Cross multiply
    431,372.80x = 647,059.20 × 135,846.40
  4. Step 4: Simplify right side
    431,372.80x = 87,900,662,906.88
  5. Step 5: Solve for x
    x = 87,900,662,906.88/431,372.80
  6. Step 6: Final answer
    x = 203,769.60

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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.