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Finding the Fourth Proportional to 269,214.70, 403,822.05 and 206,229.10

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Solution

The fourth proportional to 269,214.70, 403,822.05 and 206,229.10 is: 309,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,214.70 : 403,822.05 = 206,229.10 : x
  2. Step 2: Convert to fraction form
    269,214.70/403,822.05 = 206,229.10/x
  3. Step 3: Cross multiply
    269,214.70x = 403,822.05 × 206,229.10
  4. Step 4: Simplify right side
    269,214.70x = 83,279,857,931.66
  5. Step 5: Solve for x
    x = 83,279,857,931.66/269,214.70
  6. Step 6: Final answer
    x = 309,343.65

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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.