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Finding the Fourth Proportional to 286,451.76, 394,940 and 204,878.24

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Solution

The fourth proportional to 286,451.76, 394,940 and 204,878.24 is: 282,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,451.76 : 394,940 = 204,878.24 : x
  2. Step 2: Convert to fraction form
    286,451.76/394,940 = 204,878.24/x
  3. Step 3: Cross multiply
    286,451.76x = 394,940 × 204,878.24
  4. Step 4: Simplify right side
    286,451.76x = 80,914,612,105.60
  5. Step 5: Solve for x
    x = 80,914,612,105.60/286,451.76
  6. Step 6: Final answer
    x = 282,472.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.