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Finding the Fourth Proportional to 326,258.28, 489,306.42 and 89,589.24

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Solution

The fourth proportional to 326,258.28, 489,306.42 and 89,589.24 is: 134,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,258.28 : 489,306.42 = 89,589.24 : x
  2. Step 2: Convert to fraction form
    326,258.28/489,306.42 = 89,589.24/x
  3. Step 3: Cross multiply
    326,258.28x = 489,306.42 × 89,589.24
  4. Step 4: Simplify right side
    326,258.28x = 43,836,590,294.92
  5. Step 5: Solve for x
    x = 43,836,590,294.92/326,258.28
  6. Step 6: Final answer
    x = 134,361.62

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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.