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Finding the Fourth Proportional to 354,954.40, 532,431.60 and 327,920.80

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Solution

The fourth proportional to 354,954.40, 532,431.60 and 327,920.80 is: 491,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,954.40 : 532,431.60 = 327,920.80 : x
  2. Step 2: Convert to fraction form
    354,954.40/532,431.60 = 327,920.80/x
  3. Step 3: Cross multiply
    354,954.40x = 532,431.60 × 327,920.80
  4. Step 4: Simplify right side
    354,954.40x = 174,595,396,217.28
  5. Step 5: Solve for x
    x = 174,595,396,217.28/354,954.40
  6. Step 6: Final answer
    x = 491,881.20

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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.