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Finding the Fourth Proportional to 276,955.34, 382,198.64 and 149,631.21

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Solution

The fourth proportional to 276,955.34, 382,198.64 and 149,631.21 is: 206,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,955.34 : 382,198.64 = 149,631.21 : x
  2. Step 2: Convert to fraction form
    276,955.34/382,198.64 = 149,631.21/x
  3. Step 3: Cross multiply
    276,955.34x = 382,198.64 × 149,631.21
  4. Step 4: Simplify right side
    276,955.34x = 57,188,844,215.40
  5. Step 5: Solve for x
    x = 57,188,844,215.40/276,955.34
  6. Step 6: Final answer
    x = 206,491.22

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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.