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Finding the Fourth Proportional to 398,769.96, 550,299.78 and 219,921.96

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Solution

The fourth proportional to 398,769.96, 550,299.78 and 219,921.96 is: 303,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,769.96 : 550,299.78 = 219,921.96 : x
  2. Step 2: Convert to fraction form
    398,769.96/550,299.78 = 219,921.96/x
  3. Step 3: Cross multiply
    398,769.96x = 550,299.78 × 219,921.96
  4. Step 4: Simplify right side
    398,769.96x = 121,023,006,205.17
  5. Step 5: Solve for x
    x = 121,023,006,205.17/398,769.96
  6. Step 6: Final answer
    x = 303,490.78

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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.