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Finding the Fourth Proportional to 299,440.80, 449,161.20 and 269,916.30

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Solution

The fourth proportional to 299,440.80, 449,161.20 and 269,916.30 is: 404,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,440.80 : 449,161.20 = 269,916.30 : x
  2. Step 2: Convert to fraction form
    299,440.80/449,161.20 = 269,916.30/x
  3. Step 3: Cross multiply
    299,440.80x = 449,161.20 × 269,916.30
  4. Step 4: Simplify right side
    299,440.80x = 121,235,929,207.56
  5. Step 5: Solve for x
    x = 121,235,929,207.56/299,440.80
  6. Step 6: Final answer
    x = 404,874.45

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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.