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Finding the Fourth Proportional to 279,764,807.40, 419,647,211.10 and 262,744,698.60

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Solution

The fourth proportional to 279,764,807.40, 419,647,211.10 and 262,744,698.60 is: 394,117,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,764,807.40 : 419,647,211.10 = 262,744,698.60 : x
  2. Step 2: Convert to fraction form
    279,764,807.40/419,647,211.10 = 262,744,698.60/x
  3. Step 3: Cross multiply
    279,764,807.40x = 419,647,211.10 × 262,744,698.60
  4. Step 4: Simplify right side
    279,764,807.40x = 110,260,079,998,800,080
  5. Step 5: Solve for x
    x = 110,260,079,998,800,080/279,764,807.40
  6. Step 6: Final answer
    x = 394,117,047.90

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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.