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Finding the Fourth Proportional to 431,381.10, 646,956.45 and 131,861.10

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Solution

The fourth proportional to 431,381.10, 646,956.45 and 131,861.10 is: 197,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,381.10 : 646,956.45 = 131,861.10 : x
  2. Step 2: Convert to fraction form
    431,381.10/646,956.45 = 131,861.10/x
  3. Step 3: Cross multiply
    431,381.10x = 646,956.45 × 131,861.10
  4. Step 4: Simplify right side
    431,381.10x = 85,308,389,149.10
  5. Step 5: Solve for x
    x = 85,308,389,149.10/431,381.10
  6. Step 6: Final answer
    x = 197,756.44

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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.