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Finding the Fourth Proportional to 408,052.40, 612,078.60 and 404,115.80

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Solution

The fourth proportional to 408,052.40, 612,078.60 and 404,115.80 is: 606,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.40 : 612,078.60 = 404,115.80 : x
  2. Step 2: Convert to fraction form
    408,052.40/612,078.60 = 404,115.80/x
  3. Step 3: Cross multiply
    408,052.40x = 612,078.60 × 404,115.80
  4. Step 4: Simplify right side
    408,052.40x = 247,350,633,101.88
  5. Step 5: Solve for x
    x = 247,350,633,101.88/408,052.40
  6. Step 6: Final answer
    x = 606,173.70

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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.