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Finding the Fourth Proportional to 361,589.94, 498,960.56 and 200,431.28

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Solution

The fourth proportional to 361,589.94, 498,960.56 and 200,431.28 is: 276,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,589.94 : 498,960.56 = 200,431.28 : x
  2. Step 2: Convert to fraction form
    361,589.94/498,960.56 = 200,431.28/x
  3. Step 3: Cross multiply
    361,589.94x = 498,960.56 × 200,431.28
  4. Step 4: Simplify right side
    361,589.94x = 100,007,300,213.36
  5. Step 5: Solve for x
    x = 100,007,300,213.36/361,589.94
  6. Step 6: Final answer
    x = 276,576.56

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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.