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Finding the Fourth Proportional to 421,993.36, 582,351.82 and 231,019.05

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Solution

The fourth proportional to 421,993.36, 582,351.82 and 231,019.05 is: 318,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,993.36 : 582,351.82 = 231,019.05 : x
  2. Step 2: Convert to fraction form
    421,993.36/582,351.82 = 231,019.05/x
  3. Step 3: Cross multiply
    421,993.36x = 582,351.82 × 231,019.05
  4. Step 4: Simplify right side
    421,993.36x = 134,534,363,644.62
  5. Step 5: Solve for x
    x = 134,534,363,644.62/421,993.36
  6. Step 6: Final answer
    x = 318,806.83

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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.