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Finding the Fourth Proportional to 408,198.69, 612,372.06 and 168,179.30

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Solution

The fourth proportional to 408,198.69, 612,372.06 and 168,179.30 is: 252,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,198.69 : 612,372.06 = 168,179.30 : x
  2. Step 2: Convert to fraction form
    408,198.69/612,372.06 = 168,179.30/x
  3. Step 3: Cross multiply
    408,198.69x = 612,372.06 × 168,179.30
  4. Step 4: Simplify right side
    408,198.69x = 102,988,303,549.46
  5. Step 5: Solve for x
    x = 102,988,303,549.46/408,198.69
  6. Step 6: Final answer
    x = 252,299.45

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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.