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Finding the Fourth Proportional to 408,091.20, 612,136.80 and 242,203.20

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Solution

The fourth proportional to 408,091.20, 612,136.80 and 242,203.20 is: 363,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,091.20 : 612,136.80 = 242,203.20 : x
  2. Step 2: Convert to fraction form
    408,091.20/612,136.80 = 242,203.20/x
  3. Step 3: Cross multiply
    408,091.20x = 612,136.80 × 242,203.20
  4. Step 4: Simplify right side
    408,091.20x = 148,261,491,797.76
  5. Step 5: Solve for x
    x = 148,261,491,797.76/408,091.20
  6. Step 6: Final answer
    x = 363,304.80

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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.