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Finding the Fourth Proportional to 408,166.40, 612,249.60 and 404,229.80

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Solution

The fourth proportional to 408,166.40, 612,249.60 and 404,229.80 is: 606,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,166.40 : 612,249.60 = 404,229.80 : x
  2. Step 2: Convert to fraction form
    408,166.40/612,249.60 = 404,229.80/x
  3. Step 3: Cross multiply
    408,166.40x = 612,249.60 × 404,229.80
  4. Step 4: Simplify right side
    408,166.40x = 247,489,533,358.08
  5. Step 5: Solve for x
    x = 247,489,533,358.08/408,166.40
  6. Step 6: Final answer
    x = 606,344.70

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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.