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Finding the Fourth Proportional to 321,936.40, 482,969.40 and 269,707.60

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Solution

The fourth proportional to 321,936.40, 482,969.40 and 269,707.60 is: 404,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,936.40 : 482,969.40 = 269,707.60 : x
  2. Step 2: Convert to fraction form
    321,936.40/482,969.40 = 269,707.60/x
  3. Step 3: Cross multiply
    321,936.40x = 482,969.40 × 269,707.60
  4. Step 4: Simplify right side
    321,936.40x = 130,260,517,747.44
  5. Step 5: Solve for x
    x = 130,260,517,747.44/321,936.40
  6. Step 6: Final answer
    x = 404,615.69

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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.