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Finding the Fourth Proportional to 217,728, 326,592.24 and 86,400

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Solution

The fourth proportional to 217,728, 326,592.24 and 86,400 is: 129,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,728 : 326,592.24 = 86,400 : x
  2. Step 2: Convert to fraction form
    217,728/326,592.24 = 86,400/x
  3. Step 3: Cross multiply
    217,728x = 326,592.24 × 86,400
  4. Step 4: Simplify right side
    217,728x = 28,217,569,536
  5. Step 5: Solve for x
    x = 28,217,569,536/217,728
  6. Step 6: Final answer
    x = 129,600.10

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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.