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Finding the Fourth Proportional to 303,910.70, 419,394.93 and 167,949.80

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Solution

The fourth proportional to 303,910.70, 419,394.93 and 167,949.80 is: 231,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,910.70 : 419,394.93 = 167,949.80 : x
  2. Step 2: Convert to fraction form
    303,910.70/419,394.93 = 167,949.80/x
  3. Step 3: Cross multiply
    303,910.70x = 419,394.93 × 167,949.80
  4. Step 4: Simplify right side
    303,910.70x = 70,437,294,614.51
  5. Step 5: Solve for x
    x = 70,437,294,614.51/303,910.70
  6. Step 6: Final answer
    x = 231,769.71

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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.