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Finding the Fourth Proportional to 300,119.80, 449,956.12 and 100,321.96

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Solution

The fourth proportional to 300,119.80, 449,956.12 and 100,321.96 is: 150,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,119.80 : 449,956.12 = 100,321.96 : x
  2. Step 2: Convert to fraction form
    300,119.80/449,956.12 = 100,321.96/x
  3. Step 3: Cross multiply
    300,119.80x = 449,956.12 × 100,321.96
  4. Step 4: Simplify right side
    300,119.80x = 45,140,479,872.40
  5. Step 5: Solve for x
    x = 45,140,479,872.40/300,119.80
  6. Step 6: Final answer
    x = 150,408.20

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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.