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Finding the Fourth Proportional to 252,310.20, 378,991.80 and 212,944.20

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Solution

The fourth proportional to 252,310.20, 378,991.80 and 212,944.20 is: 319,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,310.20 : 378,991.80 = 212,944.20 : x
  2. Step 2: Convert to fraction form
    252,310.20/378,991.80 = 212,944.20/x
  3. Step 3: Cross multiply
    252,310.20x = 378,991.80 × 212,944.20
  4. Step 4: Simplify right side
    252,310.20x = 80,704,105,657.56
  5. Step 5: Solve for x
    x = 80,704,105,657.56/252,310.20
  6. Step 6: Final answer
    x = 319,860.65

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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.