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Finding the Fourth Proportional to 275,402.12, 412,770.97 and 142,209.77

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Solution

The fourth proportional to 275,402.12, 412,770.97 and 142,209.77 is: 213,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,402.12 : 412,770.97 = 142,209.77 : x
  2. Step 2: Convert to fraction form
    275,402.12/412,770.97 = 142,209.77/x
  3. Step 3: Cross multiply
    275,402.12x = 412,770.97 × 142,209.77
  4. Step 4: Simplify right side
    275,402.12x = 58,700,062,642.52
  5. Step 5: Solve for x
    x = 58,700,062,642.52/275,402.12
  6. Step 6: Final answer
    x = 213,143.11

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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.