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Finding the Fourth Proportional to 356,314.64, 491,714 and 195,179.68

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Solution

The fourth proportional to 356,314.64, 491,714 and 195,179.68 is: 269,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,314.64 : 491,714 = 195,179.68 : x
  2. Step 2: Convert to fraction form
    356,314.64/491,714 = 195,179.68/x
  3. Step 3: Cross multiply
    356,314.64x = 491,714 × 195,179.68
  4. Step 4: Simplify right side
    356,314.64x = 95,972,581,171.52
  5. Step 5: Solve for x
    x = 95,972,581,171.52/356,314.64
  6. Step 6: Final answer
    x = 269,347.85

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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.