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Finding the Fourth Proportional to 286,046.27, 428,903.24 and 108,456.41

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Solution

The fourth proportional to 286,046.27, 428,903.24 and 108,456.41 is: 162,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,046.27 : 428,903.24 = 108,456.41 : x
  2. Step 2: Convert to fraction form
    286,046.27/428,903.24 = 108,456.41/x
  3. Step 3: Cross multiply
    286,046.27x = 428,903.24 × 108,456.41
  4. Step 4: Simplify right side
    286,046.27x = 46,517,302,960.97
  5. Step 5: Solve for x
    x = 46,517,302,960.97/286,046.27
  6. Step 6: Final answer
    x = 162,621.61

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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.