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Finding the Fourth Proportional to 613,191.87, 919,974.42 and 313,882.56

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Solution

The fourth proportional to 613,191.87, 919,974.42 and 313,882.56 is: 470,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,191.87 : 919,974.42 = 313,882.56 : x
  2. Step 2: Convert to fraction form
    613,191.87/919,974.42 = 313,882.56/x
  3. Step 3: Cross multiply
    613,191.87x = 919,974.42 × 313,882.56
  4. Step 4: Simplify right side
    613,191.87x = 288,763,926,084.12
  5. Step 5: Solve for x
    x = 288,763,926,084.12/613,191.87
  6. Step 6: Final answer
    x = 470,919.37

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1.5x scale

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.