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Finding the Fourth Proportional to 321,463.37, 482,302.24 and 213,817.11

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Solution

The fourth proportional to 321,463.37, 482,302.24 and 213,817.11 is: 320,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,463.37 : 482,302.24 = 213,817.11 : x
  2. Step 2: Convert to fraction form
    321,463.37/482,302.24 = 213,817.11/x
  3. Step 3: Cross multiply
    321,463.37x = 482,302.24 × 213,817.11
  4. Step 4: Simplify right side
    321,463.37x = 103,124,471,103.33
  5. Step 5: Solve for x
    x = 103,124,471,103.33/321,463.37
  6. Step 6: Final answer
    x = 320,796.96

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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.