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Finding the Fourth Proportional to 398,678.38, 598,116 and 118,195.62

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Solution

The fourth proportional to 398,678.38, 598,116 and 118,195.62 is: 177,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,678.38 : 598,116 = 118,195.62 : x
  2. Step 2: Convert to fraction form
    398,678.38/598,116 = 118,195.62/x
  3. Step 3: Cross multiply
    398,678.38x = 598,116 × 118,195.62
  4. Step 4: Simplify right side
    398,678.38x = 70,694,691,451.92
  5. Step 5: Solve for x
    x = 70,694,691,451.92/398,678.38
  6. Step 6: Final answer
    x = 177,322.61

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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.