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Finding the Fourth Proportional to 331,408.68, 457,198.50 and 223,939.56

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Solution

The fourth proportional to 331,408.68, 457,198.50 and 223,939.56 is: 308,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,408.68 : 457,198.50 = 223,939.56 : x
  2. Step 2: Convert to fraction form
    331,408.68/457,198.50 = 223,939.56/x
  3. Step 3: Cross multiply
    331,408.68x = 457,198.50 × 223,939.56
  4. Step 4: Simplify right side
    331,408.68x = 102,384,830,922.66
  5. Step 5: Solve for x
    x = 102,384,830,922.66/331,408.68
  6. Step 6: Final answer
    x = 308,938.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.