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Finding the Fourth Proportional to 394,241,687.97, 590,945,510.22 and 148,491,994.14

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Solution

The fourth proportional to 394,241,687.97, 590,945,510.22 and 148,491,994.14 is: 222,580,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,241,687.97 : 590,945,510.22 = 148,491,994.14 : x
  2. Step 2: Convert to fraction form
    394,241,687.97/590,945,510.22 = 148,491,994.14/x
  3. Step 3: Cross multiply
    394,241,687.97x = 590,945,510.22 × 148,491,994.14
  4. Step 4: Simplify right side
    394,241,687.97x = 87,750,677,240,647,552
  5. Step 5: Solve for x
    x = 87,750,677,240,647,552/394,241,687.97
  6. Step 6: Final answer
    x = 222,580,919.06

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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.