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Finding the Fourth Proportional to 398,858.25, 598,292.58 and 132,618.78

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Solution

The fourth proportional to 398,858.25, 598,292.58 and 132,618.78 is: 198,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,858.25 : 598,292.58 = 132,618.78 : x
  2. Step 2: Convert to fraction form
    398,858.25/598,292.58 = 132,618.78/x
  3. Step 3: Cross multiply
    398,858.25x = 598,292.58 × 132,618.78
  4. Step 4: Simplify right side
    398,858.25x = 79,344,832,042.65
  5. Step 5: Solve for x
    x = 79,344,832,042.65/398,858.25
  6. Step 6: Final answer
    x = 198,929.90

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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.