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Finding the Fourth Proportional to 321,765.90, 482,791.41 and 111,554.70

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Solution

The fourth proportional to 321,765.90, 482,791.41 and 111,554.70 is: 167,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,765.90 : 482,791.41 = 111,554.70 : x
  2. Step 2: Convert to fraction form
    321,765.90/482,791.41 = 111,554.70/x
  3. Step 3: Cross multiply
    321,765.90x = 482,791.41 × 111,554.70
  4. Step 4: Simplify right side
    321,765.90x = 53,857,650,905.13
  5. Step 5: Solve for x
    x = 53,857,650,905.13/321,765.90
  6. Step 6: Final answer
    x = 167,381.47

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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.