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Finding the Fourth Proportional to 683,584,672.80, 1,025,405,002.80 and 198,910,480.80

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Solution

The fourth proportional to 683,584,672.80, 1,025,405,002.80 and 198,910,480.80 is: 298,373,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,584,672.80 : 1,025,405,002.80 = 198,910,480.80 : x
  2. Step 2: Convert to fraction form
    683,584,672.80/1,025,405,002.80 = 198,910,480.80/x
  3. Step 3: Cross multiply
    683,584,672.80x = 1,025,405,002.80 × 198,910,480.80
  4. Step 4: Simplify right side
    683,584,672.80x = 203,963,802,121,673,344
  5. Step 5: Solve for x
    x = 203,963,802,121,673,344/683,584,672.80
  6. Step 6: Final answer
    x = 298,373,866.82

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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.