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Finding the Fourth Proportional to 200,422.49, 300,623.20 and 67,305.47

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Solution

The fourth proportional to 200,422.49, 300,623.20 and 67,305.47 is: 100,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422.49 : 300,623.20 = 67,305.47 : x
  2. Step 2: Convert to fraction form
    200,422.49/300,623.20 = 67,305.47/x
  3. Step 3: Cross multiply
    200,422.49x = 300,623.20 × 67,305.47
  4. Step 4: Simplify right side
    200,422.49x = 20,233,584,097.52
  5. Step 5: Solve for x
    x = 20,233,584,097.52/200,422.49
  6. Step 6: Final answer
    x = 100,954.66

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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.