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Finding the Fourth Proportional to 408,086.16, 612,174.78 and 108,578.28

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Solution

The fourth proportional to 408,086.16, 612,174.78 and 108,578.28 is: 162,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086.16 : 612,174.78 = 108,578.28 : x
  2. Step 2: Convert to fraction form
    408,086.16/612,174.78 = 108,578.28/x
  3. Step 3: Cross multiply
    408,086.16x = 612,174.78 × 108,578.28
  4. Step 4: Simplify right side
    408,086.16x = 66,468,884,671.78
  5. Step 5: Solve for x
    x = 66,468,884,671.78/408,086.16
  6. Step 6: Final answer
    x = 162,879.54

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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.