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Finding the Fourth Proportional to 340,825.70, 511,315.35 and 200,512.10

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Solution

The fourth proportional to 340,825.70, 511,315.35 and 200,512.10 is: 300,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,825.70 : 511,315.35 = 200,512.10 : x
  2. Step 2: Convert to fraction form
    340,825.70/511,315.35 = 200,512.10/x
  3. Step 3: Cross multiply
    340,825.70x = 511,315.35 × 200,512.10
  4. Step 4: Simplify right side
    340,825.70x = 102,524,914,590.74
  5. Step 5: Solve for x
    x = 102,524,914,590.74/340,825.70
  6. Step 6: Final answer
    x = 300,813.33

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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.