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Finding the Fourth Proportional to 269,421.30, 404,180.55 and 135,965.70

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Solution

The fourth proportional to 269,421.30, 404,180.55 and 135,965.70 is: 203,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,421.30 : 404,180.55 = 135,965.70 : x
  2. Step 2: Convert to fraction form
    269,421.30/404,180.55 = 135,965.70/x
  3. Step 3: Cross multiply
    269,421.30x = 404,180.55 × 135,965.70
  4. Step 4: Simplify right side
    269,421.30x = 54,954,691,407.14
  5. Step 5: Solve for x
    x = 54,954,691,407.14/269,421.30
  6. Step 6: Final answer
    x = 203,973.08

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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.