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Finding the Fourth Proportional to 275,747.94, 380,532.36 and 154,889.30

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Solution

The fourth proportional to 275,747.94, 380,532.36 and 154,889.30 is: 213,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,747.94 : 380,532.36 = 154,889.30 : x
  2. Step 2: Convert to fraction form
    275,747.94/380,532.36 = 154,889.30/x
  3. Step 3: Cross multiply
    275,747.94x = 380,532.36 × 154,889.30
  4. Step 4: Simplify right side
    275,747.94x = 58,940,390,867.75
  5. Step 5: Solve for x
    x = 58,940,390,867.75/275,747.94
  6. Step 6: Final answer
    x = 213,747.35

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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.