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Finding the Fourth Proportional to 299,432.80, 449,149.20 and 269,908.30

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Solution

The fourth proportional to 299,432.80, 449,149.20 and 269,908.30 is: 404,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.80 : 449,149.20 = 269,908.30 : x
  2. Step 2: Convert to fraction form
    299,432.80/449,149.20 = 269,908.30/x
  3. Step 3: Cross multiply
    299,432.80x = 449,149.20 × 269,908.30
  4. Step 4: Simplify right side
    299,432.80x = 121,229,097,018.36
  5. Step 5: Solve for x
    x = 121,229,097,018.36/299,432.80
  6. Step 6: Final answer
    x = 404,862.45

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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.