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Finding the Fourth Proportional to 269,693.80, 404,771.10 and 120,164.20

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Solution

The fourth proportional to 269,693.80, 404,771.10 and 120,164.20 is: 180,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,693.80 : 404,771.10 = 120,164.20 : x
  2. Step 2: Convert to fraction form
    269,693.80/404,771.10 = 120,164.20/x
  3. Step 3: Cross multiply
    269,693.80x = 404,771.10 × 120,164.20
  4. Step 4: Simplify right side
    269,693.80x = 48,638,995,414.62
  5. Step 5: Solve for x
    x = 48,638,995,414.62/269,693.80
  6. Step 6: Final answer
    x = 180,348.96

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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.