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Finding the Fourth Proportional to 268,168.20, 401,906.70 and 205,528.20

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Solution

The fourth proportional to 268,168.20, 401,906.70 and 205,528.20 is: 308,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,168.20 : 401,906.70 = 205,528.20 : x
  2. Step 2: Convert to fraction form
    268,168.20/401,906.70 = 205,528.20/x
  3. Step 3: Cross multiply
    268,168.20x = 401,906.70 × 205,528.20
  4. Step 4: Simplify right side
    268,168.20x = 82,603,160,618.94
  5. Step 5: Solve for x
    x = 82,603,160,618.94/268,168.20
  6. Step 6: Final answer
    x = 308,027.43

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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.