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Finding the Fourth Proportional to 667,082.20, 920,197.56 and 421,991.03

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Solution

The fourth proportional to 667,082.20, 920,197.56 and 421,991.03 is: 582,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,082.20 : 920,197.56 = 421,991.03 : x
  2. Step 2: Convert to fraction form
    667,082.20/920,197.56 = 421,991.03/x
  3. Step 3: Cross multiply
    667,082.20x = 920,197.56 × 421,991.03
  4. Step 4: Simplify right side
    667,082.20x = 388,315,116,147.89
  5. Step 5: Solve for x
    x = 388,315,116,147.89/667,082.20
  6. Step 6: Final answer
    x = 582,109.85

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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.