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Finding the Fourth Proportional to 269,537.20, 404,354.40 and 111,781.60

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Solution

The fourth proportional to 269,537.20, 404,354.40 and 111,781.60 is: 167,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,537.20 : 404,354.40 = 111,781.60 : x
  2. Step 2: Convert to fraction form
    269,537.20/404,354.40 = 111,781.60/x
  3. Step 3: Cross multiply
    269,537.20x = 404,354.40 × 111,781.60
  4. Step 4: Simplify right side
    269,537.20x = 45,199,381,799.04
  5. Step 5: Solve for x
    x = 45,199,381,799.04/269,537.20
  6. Step 6: Final answer
    x = 167,692.56

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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.