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Finding the Fourth Proportional to 408,040,608.40, 612,060,912.60 and 382,531,440.40

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Solution

The fourth proportional to 408,040,608.40, 612,060,912.60 and 382,531,440.40 is: 573,797,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,040,608.40 : 612,060,912.60 = 382,531,440.40 : x
  2. Step 2: Convert to fraction form
    408,040,608.40/612,060,912.60 = 382,531,440.40/x
  3. Step 3: Cross multiply
    408,040,608.40x = 612,060,912.60 × 382,531,440.40
  4. Step 4: Simplify right side
    408,040,608.40x = 234,132,542,509,416,512
  5. Step 5: Solve for x
    x = 234,132,542,509,416,512/408,040,608.40
  6. Step 6: Final answer
    x = 573,797,160.60

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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.