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Finding the Fourth Proportional to 217,469.16, 326,286.72 and 84,442.74

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Solution

The fourth proportional to 217,469.16, 326,286.72 and 84,442.74 is: 126,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,469.16 : 326,286.72 = 84,442.74 : x
  2. Step 2: Convert to fraction form
    217,469.16/326,286.72 = 84,442.74/x
  3. Step 3: Cross multiply
    217,469.16x = 326,286.72 × 84,442.74
  4. Step 4: Simplify right side
    217,469.16x = 27,552,544,662.41
  5. Step 5: Solve for x
    x = 27,552,544,662.41/217,469.16
  6. Step 6: Final answer
    x = 126,696.33

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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.