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Finding the Fourth Proportional to 299,311.40, 449,049.10 and 149,370.68

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Solution

The fourth proportional to 299,311.40, 449,049.10 and 149,370.68 is: 224,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311.40 : 449,049.10 = 149,370.68 : x
  2. Step 2: Convert to fraction form
    299,311.40/449,049.10 = 149,370.68/x
  3. Step 3: Cross multiply
    299,311.40x = 449,049.10 × 149,370.68
  4. Step 4: Simplify right side
    299,311.40x = 67,074,769,420.39
  5. Step 5: Solve for x
    x = 67,074,769,420.39/299,311.40
  6. Step 6: Final answer
    x = 224,096.94

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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.