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Finding the Fourth Proportional to 200,380, 276,524.40 and 110,956

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Solution

The fourth proportional to 200,380, 276,524.40 and 110,956 is: 153,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,380 : 276,524.40 = 110,956 : x
  2. Step 2: Convert to fraction form
    200,380/276,524.40 = 110,956/x
  3. Step 3: Cross multiply
    200,380x = 276,524.40 × 110,956
  4. Step 4: Simplify right side
    200,380x = 30,682,041,326.40
  5. Step 5: Solve for x
    x = 30,682,041,326.40/200,380
  6. Step 6: Final answer
    x = 153,119.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.