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Finding the Fourth Proportional to 281,628.75, 422,439.47 and 68,398.41

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Solution

The fourth proportional to 281,628.75, 422,439.47 and 68,398.41 is: 102,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,628.75 : 422,439.47 = 68,398.41 : x
  2. Step 2: Convert to fraction form
    281,628.75/422,439.47 = 68,398.41/x
  3. Step 3: Cross multiply
    281,628.75x = 422,439.47 × 68,398.41
  4. Step 4: Simplify right side
    281,628.75x = 28,894,188,954.35
  5. Step 5: Solve for x
    x = 28,894,188,954.35/281,628.75
  6. Step 6: Final answer
    x = 102,596.73

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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.