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Finding the Fourth Proportional to 468,769.44, 646,868.22 and 275,185

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Solution

The fourth proportional to 468,769.44, 646,868.22 and 275,185 is: 379,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,769.44 : 646,868.22 = 275,185 : x
  2. Step 2: Convert to fraction form
    468,769.44/646,868.22 = 275,185/x
  3. Step 3: Cross multiply
    468,769.44x = 646,868.22 × 275,185
  4. Step 4: Simplify right side
    468,769.44x = 178,008,431,120.70
  5. Step 5: Solve for x
    x = 178,008,431,120.70/468,769.44
  6. Step 6: Final answer
    x = 379,735.57

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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.