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Finding the Fourth Proportional to 431,508.50, 647,158.91 and 131,991.71

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Solution

The fourth proportional to 431,508.50, 647,158.91 and 131,991.71 is: 197,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,508.50 : 647,158.91 = 131,991.71 : x
  2. Step 2: Convert to fraction form
    431,508.50/647,158.91 = 131,991.71/x
  3. Step 3: Cross multiply
    431,508.50x = 647,158.91 × 131,991.71
  4. Step 4: Simplify right side
    431,508.50x = 85,419,611,172.64
  5. Step 5: Solve for x
    x = 85,419,611,172.64/431,508.50
  6. Step 6: Final answer
    x = 197,955.80

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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.