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Finding the Fourth Proportional to 431,263.78, 646,990.88 and 131,767.76

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Solution

The fourth proportional to 431,263.78, 646,990.88 and 131,767.76 is: 197,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,263.78 : 646,990.88 = 131,767.76 : x
  2. Step 2: Convert to fraction form
    431,263.78/646,990.88 = 131,767.76/x
  3. Step 3: Cross multiply
    431,263.78x = 646,990.88 × 131,767.76
  4. Step 4: Simplify right side
    431,263.78x = 85,252,539,956.67
  5. Step 5: Solve for x
    x = 85,252,539,956.67/431,263.78
  6. Step 6: Final answer
    x = 197,680.73

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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.