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Finding the Fourth Proportional to 408,577.28, 612,093.20 and 231,211.60

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Solution

The fourth proportional to 408,577.28, 612,093.20 and 231,211.60 is: 346,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,577.28 : 612,093.20 = 231,211.60 : x
  2. Step 2: Convert to fraction form
    408,577.28/612,093.20 = 231,211.60/x
  3. Step 3: Cross multiply
    408,577.28x = 612,093.20 × 231,211.60
  4. Step 4: Simplify right side
    408,577.28x = 141,523,048,121.12
  5. Step 5: Solve for x
    x = 141,523,048,121.12/408,577.28
  6. Step 6: Final answer
    x = 346,380.12

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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.