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Finding the Fourth Proportional to 408,168, 612,297.90 and 108,660.24

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Solution

The fourth proportional to 408,168, 612,297.90 and 108,660.24 is: 163,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,168 : 612,297.90 = 108,660.24 : x
  2. Step 2: Convert to fraction form
    408,168/612,297.90 = 108,660.24/x
  3. Step 3: Cross multiply
    408,168x = 612,297.90 × 108,660.24
  4. Step 4: Simplify right side
    408,168x = 66,532,436,765.50
  5. Step 5: Solve for x
    x = 66,532,436,765.50/408,168
  6. Step 6: Final answer
    x = 163,002.58

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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.