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Finding the Fourth Proportional to 327,866.40, 491,799.60 and 228,139.20

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Solution

The fourth proportional to 327,866.40, 491,799.60 and 228,139.20 is: 342,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,866.40 : 491,799.60 = 228,139.20 : x
  2. Step 2: Convert to fraction form
    327,866.40/491,799.60 = 228,139.20/x
  3. Step 3: Cross multiply
    327,866.40x = 491,799.60 × 228,139.20
  4. Step 4: Simplify right side
    327,866.40x = 112,198,767,304.32
  5. Step 5: Solve for x
    x = 112,198,767,304.32/327,866.40
  6. Step 6: Final answer
    x = 342,208.80

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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.