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Finding the Fourth Proportional to 269,769.20, 404,329.80 and 111,916.40

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Solution

The fourth proportional to 269,769.20, 404,329.80 and 111,916.40 is: 167,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,769.20 : 404,329.80 = 111,916.40 : x
  2. Step 2: Convert to fraction form
    269,769.20/404,329.80 = 111,916.40/x
  3. Step 3: Cross multiply
    269,769.20x = 404,329.80 × 111,916.40
  4. Step 4: Simplify right side
    269,769.20x = 45,251,135,628.72
  5. Step 5: Solve for x
    x = 45,251,135,628.72/269,769.20
  6. Step 6: Final answer
    x = 167,740.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.