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Finding the Fourth Proportional to 286,206, 394,944.49 and 158,871.57

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Solution

The fourth proportional to 286,206, 394,944.49 and 158,871.57 is: 219,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,206 : 394,944.49 = 158,871.57 : x
  2. Step 2: Convert to fraction form
    286,206/394,944.49 = 158,871.57/x
  3. Step 3: Cross multiply
    286,206x = 394,944.49 × 158,871.57
  4. Step 4: Simplify right side
    286,206x = 62,745,451,189.15
  5. Step 5: Solve for x
    x = 62,745,451,189.15/286,206
  6. Step 6: Final answer
    x = 219,231.78

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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.