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Finding the Fourth Proportional to 321,471.06, 481,260.64 and 214,589.92

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Solution

The fourth proportional to 321,471.06, 481,260.64 and 214,589.92 is: 321,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,471.06 : 481,260.64 = 214,589.92 : x
  2. Step 2: Convert to fraction form
    321,471.06/481,260.64 = 214,589.92/x
  3. Step 3: Cross multiply
    321,471.06x = 481,260.64 × 214,589.92
  4. Step 4: Simplify right side
    321,471.06x = 103,273,682,236.75
  5. Step 5: Solve for x
    x = 103,273,682,236.75/321,471.06
  6. Step 6: Final answer
    x = 321,253.43

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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.