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Finding the Fourth Proportional to 408,022.20, 612,494.10 and 314,940.60

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Solution

The fourth proportional to 408,022.20, 612,494.10 and 314,940.60 is: 472,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.20 : 612,494.10 = 314,940.60 : x
  2. Step 2: Convert to fraction form
    408,022.20/612,494.10 = 314,940.60/x
  3. Step 3: Cross multiply
    408,022.20x = 612,494.10 × 314,940.60
  4. Step 4: Simplify right side
    408,022.20x = 192,899,259,350.46
  5. Step 5: Solve for x
    x = 192,899,259,350.46/408,022.20
  6. Step 6: Final answer
    x = 472,766.58

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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.