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Finding the Fourth Proportional to 407,209.78, 561,930.54 and 225,919.78

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Solution

The fourth proportional to 407,209.78, 561,930.54 and 225,919.78 is: 311,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,209.78 : 561,930.54 = 225,919.78 : x
  2. Step 2: Convert to fraction form
    407,209.78/561,930.54 = 225,919.78/x
  3. Step 3: Cross multiply
    407,209.78x = 561,930.54 × 225,919.78
  4. Step 4: Simplify right side
    407,209.78x = 126,951,223,972.08
  5. Step 5: Solve for x
    x = 126,951,223,972.08/407,209.78
  6. Step 6: Final answer
    x = 311,758.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.