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Finding the Fourth Proportional to 408,080.20, 612,206.70 and 123,747.40

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Solution

The fourth proportional to 408,080.20, 612,206.70 and 123,747.40 is: 185,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,080.20 : 612,206.70 = 123,747.40 : x
  2. Step 2: Convert to fraction form
    408,080.20/612,206.70 = 123,747.40/x
  3. Step 3: Cross multiply
    408,080.20x = 612,206.70 × 123,747.40
  4. Step 4: Simplify right side
    408,080.20x = 75,758,987,387.58
  5. Step 5: Solve for x
    x = 75,758,987,387.58/408,080.20
  6. Step 6: Final answer
    x = 185,647.30

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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.