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Finding the Fourth Proportional to 263,229.74, 394,847.68 and 73,678.86

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Solution

The fourth proportional to 263,229.74, 394,847.68 and 73,678.86 is: 110,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,229.74 : 394,847.68 = 73,678.86 : x
  2. Step 2: Convert to fraction form
    263,229.74/394,847.68 = 73,678.86/x
  3. Step 3: Cross multiply
    263,229.74x = 394,847.68 × 73,678.86
  4. Step 4: Simplify right side
    263,229.74x = 29,091,926,936.04
  5. Step 5: Solve for x
    x = 29,091,926,936.04/263,229.74
  6. Step 6: Final answer
    x = 110,519.15

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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.