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Finding the Fourth Proportional to 320,256, 441,954 and 192,936.96

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Solution

The fourth proportional to 320,256, 441,954 and 192,936.96 is: 266,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,256 : 441,954 = 192,936.96 : x
  2. Step 2: Convert to fraction form
    320,256/441,954 = 192,936.96/x
  3. Step 3: Cross multiply
    320,256x = 441,954 × 192,936.96
  4. Step 4: Simplify right side
    320,256x = 85,269,261,219.84
  5. Step 5: Solve for x
    x = 85,269,261,219.84/320,256
  6. Step 6: Final answer
    x = 266,253.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.