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Finding the Fourth Proportional to 303,908.70, 419,392.17 and 167,947.80

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Solution

The fourth proportional to 303,908.70, 419,392.17 and 167,947.80 is: 231,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,908.70 : 419,392.17 = 167,947.80 : x
  2. Step 2: Convert to fraction form
    303,908.70/419,392.17 = 167,947.80/x
  3. Step 3: Cross multiply
    303,908.70x = 419,392.17 × 167,947.80
  4. Step 4: Simplify right side
    303,908.70x = 70,435,992,288.73
  5. Step 5: Solve for x
    x = 70,435,992,288.73/303,908.70
  6. Step 6: Final answer
    x = 231,766.95

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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.