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Finding the Fourth Proportional to 419,969,820.60, 629,954,730.90 and 274,850,998.20

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Solution

The fourth proportional to 419,969,820.60, 629,954,730.90 and 274,850,998.20 is: 412,276,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,969,820.60 : 629,954,730.90 = 274,850,998.20 : x
  2. Step 2: Convert to fraction form
    419,969,820.60/629,954,730.90 = 274,850,998.20/x
  3. Step 3: Cross multiply
    419,969,820.60x = 629,954,730.90 × 274,850,998.20
  4. Step 4: Simplify right side
    419,969,820.60x = 173,143,686,608,677,376
  5. Step 5: Solve for x
    x = 173,143,686,608,677,376/419,969,820.60
  6. Step 6: Final answer
    x = 412,276,497.30

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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.