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Finding the Fourth Proportional to 225,156.87, 338,121.68 and 199,913.43

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Solution

The fourth proportional to 225,156.87, 338,121.68 and 199,913.43 is: 300,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,156.87 : 338,121.68 = 199,913.43 : x
  2. Step 2: Convert to fraction form
    225,156.87/338,121.68 = 199,913.43/x
  3. Step 3: Cross multiply
    225,156.87x = 338,121.68 × 199,913.43
  4. Step 4: Simplify right side
    225,156.87x = 67,595,064,806.16
  5. Step 5: Solve for x
    x = 67,595,064,806.16/225,156.87
  6. Step 6: Final answer
    x = 300,213.20

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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.