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Finding the Fourth Proportional to 216,182, 324,274.44 and 68,438

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Solution

The fourth proportional to 216,182, 324,274.44 and 68,438 is: 102,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,182 : 324,274.44 = 68,438 : x
  2. Step 2: Convert to fraction form
    216,182/324,274.44 = 68,438/x
  3. Step 3: Cross multiply
    216,182x = 324,274.44 × 68,438
  4. Step 4: Simplify right side
    216,182x = 22,192,694,124.72
  5. Step 5: Solve for x
    x = 22,192,694,124.72/216,182
  6. Step 6: Final answer
    x = 102,657.46

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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.