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Finding the Fourth Proportional to 408,817.67, 613,179.79 and 109,321.60

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Solution

The fourth proportional to 408,817.67, 613,179.79 and 109,321.60 is: 163,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,817.67 : 613,179.79 = 109,321.60 : x
  2. Step 2: Convert to fraction form
    408,817.67/613,179.79 = 109,321.60/x
  3. Step 3: Cross multiply
    408,817.67x = 613,179.79 × 109,321.60
  4. Step 4: Simplify right side
    408,817.67x = 67,033,795,183.86
  5. Step 5: Solve for x
    x = 67,033,795,183.86/408,817.67
  6. Step 6: Final answer
    x = 163,969.91

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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.