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Finding the Fourth Proportional to 356,115.60, 491,420.82 and 194,939.76

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Solution

The fourth proportional to 356,115.60, 491,420.82 and 194,939.76 is: 269,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,115.60 : 491,420.82 = 194,939.76 : x
  2. Step 2: Convert to fraction form
    356,115.60/491,420.82 = 194,939.76/x
  3. Step 3: Cross multiply
    356,115.60x = 491,420.82 × 194,939.76
  4. Step 4: Simplify right side
    356,115.60x = 95,797,456,709.80
  5. Step 5: Solve for x
    x = 95,797,456,709.80/356,115.60
  6. Step 6: Final answer
    x = 269,006.63

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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.