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Finding the Fourth Proportional to 431,478.92, 647,114.57 and 131,962.09

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Solution

The fourth proportional to 431,478.92, 647,114.57 and 131,962.09 is: 197,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,478.92 : 647,114.57 = 131,962.09 : x
  2. Step 2: Convert to fraction form
    431,478.92/647,114.57 = 131,962.09/x
  3. Step 3: Cross multiply
    431,478.92x = 647,114.57 × 131,962.09
  4. Step 4: Simplify right side
    431,478.92x = 85,394,592,265.45
  5. Step 5: Solve for x
    x = 85,394,592,265.45/431,478.92
  6. Step 6: Final answer
    x = 197,911.39

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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.