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Finding the Fourth Proportional to 421,906.42, 582,230.87 and 230,919.83

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Solution

The fourth proportional to 421,906.42, 582,230.87 and 230,919.83 is: 318,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,906.42 : 582,230.87 = 230,919.83 : x
  2. Step 2: Convert to fraction form
    421,906.42/582,230.87 = 230,919.83/x
  3. Step 3: Cross multiply
    421,906.42x = 582,230.87 × 230,919.83
  4. Step 4: Simplify right side
    421,906.42x = 134,448,652,504.71
  5. Step 5: Solve for x
    x = 134,448,652,504.71/421,906.42
  6. Step 6: Final answer
    x = 318,669.37

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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.