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Finding the Fourth Proportional to 217,704.28, 326,677.38 and 117,863

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Solution

The fourth proportional to 217,704.28, 326,677.38 and 117,863 is: 176,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,704.28 : 326,677.38 = 117,863 : x
  2. Step 2: Convert to fraction form
    217,704.28/326,677.38 = 117,863/x
  3. Step 3: Cross multiply
    217,704.28x = 326,677.38 × 117,863
  4. Step 4: Simplify right side
    217,704.28x = 38,503,176,038.94
  5. Step 5: Solve for x
    x = 38,503,176,038.94/217,704.28
  6. Step 6: Final answer
    x = 176,859.99

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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.