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Finding the Fourth Proportional to 431,478.72, 647,114.25 and 131,961.90

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Solution

The fourth proportional to 431,478.72, 647,114.25 and 131,961.90 is: 197,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,478.72 : 647,114.25 = 131,961.90 : x
  2. Step 2: Convert to fraction form
    431,478.72/647,114.25 = 131,961.90/x
  3. Step 3: Cross multiply
    431,478.72x = 647,114.25 × 131,961.90
  4. Step 4: Simplify right side
    431,478.72x = 85,394,425,947.08
  5. Step 5: Solve for x
    x = 85,394,425,947.08/431,478.72
  6. Step 6: Final answer
    x = 197,911.10

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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.