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Finding the Fourth Proportional to 667,082.70, 920,198.25 and 421,991.54

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Solution

The fourth proportional to 667,082.70, 920,198.25 and 421,991.54 is: 582,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,082.70 : 920,198.25 = 421,991.54 : x
  2. Step 2: Convert to fraction form
    667,082.70/920,198.25 = 421,991.54/x
  3. Step 3: Cross multiply
    667,082.70x = 920,198.25 × 421,991.54
  4. Step 4: Simplify right side
    667,082.70x = 388,315,872,021.81
  5. Step 5: Solve for x
    x = 388,315,872,021.81/667,082.70
  6. Step 6: Final answer
    x = 582,110.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.