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Finding the Fourth Proportional to 308,013, 462,203.84 and 132,909

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Solution

The fourth proportional to 308,013, 462,203.84 and 132,909 is: 199,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,013 : 462,203.84 = 132,909 : x
  2. Step 2: Convert to fraction form
    308,013/462,203.84 = 132,909/x
  3. Step 3: Cross multiply
    308,013x = 462,203.84 × 132,909
  4. Step 4: Simplify right side
    308,013x = 61,431,050,170.56
  5. Step 5: Solve for x
    x = 61,431,050,170.56/308,013
  6. Step 6: Final answer
    x = 199,443.04

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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.