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Finding the Fourth Proportional to 279,937.80, 419,906.70 and 269,440.20

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Solution

The fourth proportional to 279,937.80, 419,906.70 and 269,440.20 is: 404,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937.80 : 419,906.70 = 269,440.20 : x
  2. Step 2: Convert to fraction form
    279,937.80/419,906.70 = 269,440.20/x
  3. Step 3: Cross multiply
    279,937.80x = 419,906.70 × 269,440.20
  4. Step 4: Simplify right side
    279,937.80x = 113,139,745,229.34
  5. Step 5: Solve for x
    x = 113,139,745,229.34/279,937.80
  6. Step 6: Final answer
    x = 404,160.30

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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.