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Finding the Fourth Proportional to 331,072, 496,685.76 and 109,456

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Solution

The fourth proportional to 331,072, 496,685.76 and 109,456 is: 164,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,072 : 496,685.76 = 109,456 : x
  2. Step 2: Convert to fraction form
    331,072/496,685.76 = 109,456/x
  3. Step 3: Cross multiply
    331,072x = 496,685.76 × 109,456
  4. Step 4: Simplify right side
    331,072x = 54,365,236,546.56
  5. Step 5: Solve for x
    x = 54,365,236,546.56/331,072
  6. Step 6: Final answer
    x = 164,209.71

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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.