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Finding the Fourth Proportional to 303,903.78, 419,387.22 and 169,767.78

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Solution

The fourth proportional to 303,903.78, 419,387.22 and 169,767.78 is: 234,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,903.78 : 419,387.22 = 169,767.78 : x
  2. Step 2: Convert to fraction form
    303,903.78/419,387.22 = 169,767.78/x
  3. Step 3: Cross multiply
    303,903.78x = 419,387.22 × 169,767.78
  4. Step 4: Simplify right side
    303,903.78x = 71,198,437,299.77
  5. Step 5: Solve for x
    x = 71,198,437,299.77/303,903.78
  6. Step 6: Final answer
    x = 234,279.54

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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.