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Finding the Fourth Proportional to 431,104.56, 646,656.96 and 131,586.84

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Solution

The fourth proportional to 431,104.56, 646,656.96 and 131,586.84 is: 197,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,104.56 : 646,656.96 = 131,586.84 : x
  2. Step 2: Convert to fraction form
    431,104.56/646,656.96 = 131,586.84/x
  3. Step 3: Cross multiply
    431,104.56x = 646,656.96 × 131,586.84
  4. Step 4: Simplify right side
    431,104.56x = 85,091,545,930.41
  5. Step 5: Solve for x
    x = 85,091,545,930.41/431,104.56
  6. Step 6: Final answer
    x = 197,380.30

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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.