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Finding the Fourth Proportional to 275,409.54, 380,072.68 and 154,558.22

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Solution

The fourth proportional to 275,409.54, 380,072.68 and 154,558.22 is: 213,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,409.54 : 380,072.68 = 154,558.22 : x
  2. Step 2: Convert to fraction form
    275,409.54/380,072.68 = 154,558.22/x
  3. Step 3: Cross multiply
    275,409.54x = 380,072.68 × 154,558.22
  4. Step 4: Simplify right side
    275,409.54x = 58,743,356,891.43
  5. Step 5: Solve for x
    x = 58,743,356,891.43/275,409.54
  6. Step 6: Final answer
    x = 213,294.56

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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.