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Finding the Fourth Proportional to 321,938.72, 482,993.96 and 111,576.48

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Solution

The fourth proportional to 321,938.72, 482,993.96 and 111,576.48 is: 167,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,938.72 : 482,993.96 = 111,576.48 : x
  2. Step 2: Convert to fraction form
    321,938.72/482,993.96 = 111,576.48/x
  3. Step 3: Cross multiply
    321,938.72x = 482,993.96 × 111,576.48
  4. Step 4: Simplify right side
    321,938.72x = 53,890,765,918.06
  5. Step 5: Solve for x
    x = 53,890,765,918.06/321,938.72
  6. Step 6: Final answer
    x = 167,394.48

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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.