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Finding the Fourth Proportional to 269,111.20, 403,321.20 and 206,471.20

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Solution

The fourth proportional to 269,111.20, 403,321.20 and 206,471.20 is: 309,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,111.20 : 403,321.20 = 206,471.20 : x
  2. Step 2: Convert to fraction form
    269,111.20/403,321.20 = 206,471.20/x
  3. Step 3: Cross multiply
    269,111.20x = 403,321.20 × 206,471.20
  4. Step 4: Simplify right side
    269,111.20x = 83,274,212,149.44
  5. Step 5: Solve for x
    x = 83,274,212,149.44/269,111.20
  6. Step 6: Final answer
    x = 309,441.64

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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.