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Finding the Fourth Proportional to 206,166.84, 284,517.20 and 196,719

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Solution

The fourth proportional to 206,166.84, 284,517.20 and 196,719 is: 271,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.84 : 284,517.20 = 196,719 : x
  2. Step 2: Convert to fraction form
    206,166.84/284,517.20 = 196,719/x
  3. Step 3: Cross multiply
    206,166.84x = 284,517.20 × 196,719
  4. Step 4: Simplify right side
    206,166.84x = 55,969,939,066.80
  5. Step 5: Solve for x
    x = 55,969,939,066.80/206,166.84
  6. Step 6: Final answer
    x = 271,478.86

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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.