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Finding the Fourth Proportional to 281,378, 422,067 and 84,386

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Solution

The fourth proportional to 281,378, 422,067 and 84,386 is: 126,579

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,378 : 422,067 = 84,386 : x
  2. Step 2: Convert to fraction form
    281,378/422,067 = 84,386/x
  3. Step 3: Cross multiply
    281,378x = 422,067 × 84,386
  4. Step 4: Simplify right side
    281,378x = 35,616,545,862
  5. Step 5: Solve for x
    x = 35,616,545,862/281,378
  6. Step 6: Final answer
    x = 126,579

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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.