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Finding the Fourth Proportional to 321,851.38, 482,777.49 and 111,489.31

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Solution

The fourth proportional to 321,851.38, 482,777.49 and 111,489.31 is: 167,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,851.38 : 482,777.49 = 111,489.31 : x
  2. Step 2: Convert to fraction form
    321,851.38/482,777.49 = 111,489.31/x
  3. Step 3: Cross multiply
    321,851.38x = 482,777.49 × 111,489.31
  4. Step 4: Simplify right side
    321,851.38x = 53,824,529,243.63
  5. Step 5: Solve for x
    x = 53,824,529,243.63/321,851.38
  6. Step 6: Final answer
    x = 167,234.11

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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.