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Finding the Fourth Proportional to 340,514.20, 509,993.70 and 200,546.20

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Solution

The fourth proportional to 340,514.20, 509,993.70 and 200,546.20 is: 300,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,514.20 : 509,993.70 = 200,546.20 : x
  2. Step 2: Convert to fraction form
    340,514.20/509,993.70 = 200,546.20/x
  3. Step 3: Cross multiply
    340,514.20x = 509,993.70 × 200,546.20
  4. Step 4: Simplify right side
    340,514.20x = 102,277,298,558.94
  5. Step 5: Solve for x
    x = 102,277,298,558.94/340,514.20
  6. Step 6: Final answer
    x = 300,361.33

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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.