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Finding the Fourth Proportional to 356,311.60, 491,709.90 and 195,176.68

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Solution

The fourth proportional to 356,311.60, 491,709.90 and 195,176.68 is: 269,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,311.60 : 491,709.90 = 195,176.68 : x
  2. Step 2: Convert to fraction form
    356,311.60/491,709.90 = 195,176.68/x
  3. Step 3: Cross multiply
    356,311.60x = 491,709.90 × 195,176.68
  4. Step 4: Simplify right side
    356,311.60x = 95,970,305,805.13
  5. Step 5: Solve for x
    x = 95,970,305,805.13/356,311.60
  6. Step 6: Final answer
    x = 269,343.76

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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.