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Finding the Fourth Proportional to 217,906.64, 300,589.81 and 202,493.98

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Solution

The fourth proportional to 217,906.64, 300,589.81 and 202,493.98 is: 279,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,906.64 : 300,589.81 = 202,493.98 : x
  2. Step 2: Convert to fraction form
    217,906.64/300,589.81 = 202,493.98/x
  3. Step 3: Cross multiply
    217,906.64x = 300,589.81 × 202,493.98
  4. Step 4: Simplify right side
    217,906.64x = 60,867,626,843.85
  5. Step 5: Solve for x
    x = 60,867,626,843.85/217,906.64
  6. Step 6: Final answer
    x = 279,328.92

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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.