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Finding the Fourth Proportional to 403,500.80, 605,542.80 and 225,819.20

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Solution

The fourth proportional to 403,500.80, 605,542.80 and 225,819.20 is: 338,891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,500.80 : 605,542.80 = 225,819.20 : x
  2. Step 2: Convert to fraction form
    403,500.80/605,542.80 = 225,819.20/x
  3. Step 3: Cross multiply
    403,500.80x = 605,542.80 × 225,819.20
  4. Step 4: Simplify right side
    403,500.80x = 136,743,190,661.76
  5. Step 5: Solve for x
    x = 136,743,190,661.76/403,500.80
  6. Step 6: Final answer
    x = 338,891.99

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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.