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Finding the Fourth Proportional to 764,193, 1,144,714 and 447,690.36

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Solution

The fourth proportional to 764,193, 1,144,714 and 447,690.36 is: 670,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,193 : 1,144,714 = 447,690.36 : x
  2. Step 2: Convert to fraction form
    764,193/1,144,714 = 447,690.36/x
  3. Step 3: Cross multiply
    764,193x = 1,144,714 × 447,690.36
  4. Step 4: Simplify right side
    764,193x = 512,477,422,757.04
  5. Step 5: Solve for x
    x = 512,477,422,757.04/764,193
  6. Step 6: Final answer
    x = 670,612.56

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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.