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Finding the Fourth Proportional to 398,857.92, 598,292.10 and 132,618.44

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Solution

The fourth proportional to 398,857.92, 598,292.10 and 132,618.44 is: 198,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,857.92 : 598,292.10 = 132,618.44 : x
  2. Step 2: Convert to fraction form
    398,857.92/598,292.10 = 132,618.44/x
  3. Step 3: Cross multiply
    398,857.92x = 598,292.10 × 132,618.44
  4. Step 4: Simplify right side
    398,857.92x = 79,344,564,406.37
  5. Step 5: Solve for x
    x = 79,344,564,406.37/398,857.92
  6. Step 6: Final answer
    x = 198,929.39

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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.