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Finding the Fourth Proportional to 318,099.92, 477,164.48 and 225,021.20

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Solution

The fourth proportional to 318,099.92, 477,164.48 and 225,021.20 is: 337,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,099.92 : 477,164.48 = 225,021.20 : x
  2. Step 2: Convert to fraction form
    318,099.92/477,164.48 = 225,021.20/x
  3. Step 3: Cross multiply
    318,099.92x = 477,164.48 × 225,021.20
  4. Step 4: Simplify right side
    318,099.92x = 107,372,123,886.98
  5. Step 5: Solve for x
    x = 107,372,123,886.98/318,099.92
  6. Step 6: Final answer
    x = 337,542.13

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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.