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Finding the Fourth Proportional to 281,563.14, 422,399.78 and 123,791.06

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Solution

The fourth proportional to 281,563.14, 422,399.78 and 123,791.06 is: 185,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,563.14 : 422,399.78 = 123,791.06 : x
  2. Step 2: Convert to fraction form
    281,563.14/422,399.78 = 123,791.06/x
  3. Step 3: Cross multiply
    281,563.14x = 422,399.78 × 123,791.06
  4. Step 4: Simplify right side
    281,563.14x = 52,289,316,509.97
  5. Step 5: Solve for x
    x = 52,289,316,509.97/281,563.14
  6. Step 6: Final answer
    x = 185,710.80

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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.