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Finding the Fourth Proportional to 225,157.87, 338,123.17 and 199,914.42

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Solution

The fourth proportional to 225,157.87, 338,123.17 and 199,914.42 is: 300,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,157.87 : 338,123.17 = 199,914.42 : x
  2. Step 2: Convert to fraction form
    225,157.87/338,123.17 = 199,914.42/x
  3. Step 3: Cross multiply
    225,157.87x = 338,123.17 × 199,914.42
  4. Step 4: Simplify right side
    225,157.87x = 67,595,697,419.11
  5. Step 5: Solve for x
    x = 67,595,697,419.11/225,157.87
  6. Step 6: Final answer
    x = 300,214.68

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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.