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Finding the Fourth Proportional to 321,940.31, 482,614.81 and 111,431.03

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Solution

The fourth proportional to 321,940.31, 482,614.81 and 111,431.03 is: 167,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,940.31 : 482,614.81 = 111,431.03 : x
  2. Step 2: Convert to fraction form
    321,940.31/482,614.81 = 111,431.03/x
  3. Step 3: Cross multiply
    321,940.31x = 482,614.81 × 111,431.03
  4. Step 4: Simplify right side
    321,940.31x = 53,778,265,371.55
  5. Step 5: Solve for x
    x = 53,778,265,371.55/321,940.31
  6. Step 6: Final answer
    x = 167,044.21

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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.