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Finding the Fourth Proportional to 492,097,198.60, 738,145,797.90 and 287,519,969.80

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Solution

The fourth proportional to 492,097,198.60, 738,145,797.90 and 287,519,969.80 is: 431,279,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097,198.60 : 738,145,797.90 = 287,519,969.80 : x
  2. Step 2: Convert to fraction form
    492,097,198.60/738,145,797.90 = 287,519,969.80/x
  3. Step 3: Cross multiply
    492,097,198.60x = 738,145,797.90 × 287,519,969.80
  4. Step 4: Simplify right side
    492,097,198.60x = 212,231,657,520,204,896
  5. Step 5: Solve for x
    x = 212,231,657,520,204,896/492,097,198.60
  6. Step 6: Final answer
    x = 431,279,954.70

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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.