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Finding the Fourth Proportional to 342,405.52, 513,755.32 and 132,191.08

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Solution

The fourth proportional to 342,405.52, 513,755.32 and 132,191.08 is: 198,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,405.52 : 513,755.32 = 132,191.08 : x
  2. Step 2: Convert to fraction form
    342,405.52/513,755.32 = 132,191.08/x
  3. Step 3: Cross multiply
    342,405.52x = 513,755.32 × 132,191.08
  4. Step 4: Simplify right side
    342,405.52x = 67,913,870,606.55
  5. Step 5: Solve for x
    x = 67,913,870,606.55/342,405.52
  6. Step 6: Final answer
    x = 198,343.39

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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.