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Finding the Fourth Proportional to 200,908.80, 300,844.80 and 159,436.80

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Solution

The fourth proportional to 200,908.80, 300,844.80 and 159,436.80 is: 238,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.80 : 300,844.80 = 159,436.80 : x
  2. Step 2: Convert to fraction form
    200,908.80/300,844.80 = 159,436.80/x
  3. Step 3: Cross multiply
    200,908.80x = 300,844.80 × 159,436.80
  4. Step 4: Simplify right side
    200,908.80x = 47,965,732,208.64
  5. Step 5: Solve for x
    x = 47,965,732,208.64/200,908.80
  6. Step 6: Final answer
    x = 238,743.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.