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Finding the Fourth Proportional to 269,198.20, 403,343.70 and 212,822.20

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Solution

The fourth proportional to 269,198.20, 403,343.70 and 212,822.20 is: 318,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,198.20 : 403,343.70 = 212,822.20 : x
  2. Step 2: Convert to fraction form
    269,198.20/403,343.70 = 212,822.20/x
  3. Step 3: Cross multiply
    269,198.20x = 403,343.70 × 212,822.20
  4. Step 4: Simplify right side
    269,198.20x = 85,840,493,590.14
  5. Step 5: Solve for x
    x = 85,840,493,590.14/269,198.20
  6. Step 6: Final answer
    x = 318,874.69

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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.