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Finding the Fourth Proportional to 431,049.80, 646,675.25 and 131,529.83

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Solution

The fourth proportional to 431,049.80, 646,675.25 and 131,529.83 is: 197,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,049.80 : 646,675.25 = 131,529.83 : x
  2. Step 2: Convert to fraction form
    431,049.80/646,675.25 = 131,529.83/x
  3. Step 3: Cross multiply
    431,049.80x = 646,675.25 × 131,529.83
  4. Step 4: Simplify right side
    431,049.80x = 85,057,081,806.68
  5. Step 5: Solve for x
    x = 85,057,081,806.68/431,049.80
  6. Step 6: Final answer
    x = 197,325.42

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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.