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Finding the Fourth Proportional to 263,141.68, 394,717.36 and 85,648

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Solution

The fourth proportional to 263,141.68, 394,717.36 and 85,648 is: 128,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,141.68 : 394,717.36 = 85,648 : x
  2. Step 2: Convert to fraction form
    263,141.68/394,717.36 = 85,648/x
  3. Step 3: Cross multiply
    263,141.68x = 394,717.36 × 85,648
  4. Step 4: Simplify right side
    263,141.68x = 33,806,752,449.28
  5. Step 5: Solve for x
    x = 33,806,752,449.28/263,141.68
  6. Step 6: Final answer
    x = 128,473.58

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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.