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Finding the Fourth Proportional to 342,602.34, 513,608.19 and 132,387.78

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Solution

The fourth proportional to 342,602.34, 513,608.19 and 132,387.78 is: 198,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,602.34 : 513,608.19 = 132,387.78 : x
  2. Step 2: Convert to fraction form
    342,602.34/513,608.19 = 132,387.78/x
  3. Step 3: Cross multiply
    342,602.34x = 513,608.19 × 132,387.78
  4. Step 4: Simplify right side
    342,602.34x = 67,995,448,063.92
  5. Step 5: Solve for x
    x = 67,995,448,063.92/342,602.34
  6. Step 6: Final answer
    x = 198,467.55

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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.