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Finding the Fourth Proportional to 449,990, 675,020.85 and 150,472.46

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Solution

The fourth proportional to 449,990, 675,020.85 and 150,472.46 is: 225,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,990 : 675,020.85 = 150,472.46 : x
  2. Step 2: Convert to fraction form
    449,990/675,020.85 = 150,472.46/x
  3. Step 3: Cross multiply
    449,990x = 675,020.85 × 150,472.46
  4. Step 4: Simplify right side
    449,990x = 101,572,047,850.79
  5. Step 5: Solve for x
    x = 101,572,047,850.79/449,990
  6. Step 6: Final answer
    x = 225,720.68

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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.