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Finding the Fourth Proportional to 281,605.70, 422,408.55 and 262,943.30

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Solution

The fourth proportional to 281,605.70, 422,408.55 and 262,943.30 is: 394,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,605.70 : 422,408.55 = 262,943.30 : x
  2. Step 2: Convert to fraction form
    281,605.70/422,408.55 = 262,943.30/x
  3. Step 3: Cross multiply
    281,605.70x = 422,408.55 × 262,943.30
  4. Step 4: Simplify right side
    281,605.70x = 111,069,498,085.22
  5. Step 5: Solve for x
    x = 111,069,498,085.22/281,605.70
  6. Step 6: Final answer
    x = 394,414.95

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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.