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Finding the Fourth Proportional to 268,882.20, 403,323.30 and 205,896.60

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Solution

The fourth proportional to 268,882.20, 403,323.30 and 205,896.60 is: 308,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,882.20 : 403,323.30 = 205,896.60 : x
  2. Step 2: Convert to fraction form
    268,882.20/403,323.30 = 205,896.60/x
  3. Step 3: Cross multiply
    268,882.20x = 403,323.30 × 205,896.60
  4. Step 4: Simplify right side
    268,882.20x = 83,042,896,170.78
  5. Step 5: Solve for x
    x = 83,042,896,170.78/268,882.20
  6. Step 6: Final answer
    x = 308,844.90

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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.