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Finding the Fourth Proportional to 342,251.97, 472,118.11 and 198,996.18

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Solution

The fourth proportional to 342,251.97, 472,118.11 and 198,996.18 is: 274,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,251.97 : 472,118.11 = 198,996.18 : x
  2. Step 2: Convert to fraction form
    342,251.97/472,118.11 = 198,996.18/x
  3. Step 3: Cross multiply
    342,251.97x = 472,118.11 × 198,996.18
  4. Step 4: Simplify right side
    342,251.97x = 93,949,700,398.82
  5. Step 5: Solve for x
    x = 93,949,700,398.82/342,251.97
  6. Step 6: Final answer
    x = 274,504.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.