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Finding the Fourth Proportional to 408,046.20, 612,069.30 and 380,052.60

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Solution

The fourth proportional to 408,046.20, 612,069.30 and 380,052.60 is: 570,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046.20 : 612,069.30 = 380,052.60 : x
  2. Step 2: Convert to fraction form
    408,046.20/612,069.30 = 380,052.60/x
  3. Step 3: Cross multiply
    408,046.20x = 612,069.30 × 380,052.60
  4. Step 4: Simplify right side
    408,046.20x = 232,618,528,845.18
  5. Step 5: Solve for x
    x = 232,618,528,845.18/408,046.20
  6. Step 6: Final answer
    x = 570,078.90

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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.