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Finding the Fourth Proportional to 431,480.72, 647,117.24 and 131,963.90

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Solution

The fourth proportional to 431,480.72, 647,117.24 and 131,963.90 is: 197,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,480.72 : 647,117.24 = 131,963.90 : x
  2. Step 2: Convert to fraction form
    431,480.72/647,117.24 = 131,963.90/x
  3. Step 3: Cross multiply
    431,480.72x = 647,117.24 × 131,963.90
  4. Step 4: Simplify right side
    431,480.72x = 85,396,114,747.64
  5. Step 5: Solve for x
    x = 85,396,114,747.64/431,480.72
  6. Step 6: Final answer
    x = 197,914.09

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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.