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Finding the Fourth Proportional to 408,198.18, 612,371.31 and 168,178.80

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Solution

The fourth proportional to 408,198.18, 612,371.31 and 168,178.80 is: 252,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,198.18 : 612,371.31 = 168,178.80 : x
  2. Step 2: Convert to fraction form
    408,198.18/612,371.31 = 168,178.80/x
  3. Step 3: Cross multiply
    408,198.18x = 612,371.31 × 168,178.80
  4. Step 4: Simplify right side
    408,198.18x = 102,987,870,291.36
  5. Step 5: Solve for x
    x = 102,987,870,291.36/408,198.18
  6. Step 6: Final answer
    x = 252,298.70

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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.