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Finding the Fourth Proportional to 268,175.20, 401,917.20 and 205,535.20

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Solution

The fourth proportional to 268,175.20, 401,917.20 and 205,535.20 is: 308,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,175.20 : 401,917.20 = 205,535.20 : x
  2. Step 2: Convert to fraction form
    268,175.20/401,917.20 = 205,535.20/x
  3. Step 3: Cross multiply
    268,175.20x = 401,917.20 × 205,535.20
  4. Step 4: Simplify right side
    268,175.20x = 82,608,132,085.44
  5. Step 5: Solve for x
    x = 82,608,132,085.44/268,175.20
  6. Step 6: Final answer
    x = 308,037.92

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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.