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Finding the Fourth Proportional to 201,780.38, 276,440.38 and 194,213.36

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Solution

The fourth proportional to 201,780.38, 276,440.38 and 194,213.36 is: 266,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,780.38 : 276,440.38 = 194,213.36 : x
  2. Step 2: Convert to fraction form
    201,780.38/276,440.38 = 194,213.36/x
  3. Step 3: Cross multiply
    201,780.38x = 276,440.38 × 194,213.36
  4. Step 4: Simplify right side
    201,780.38x = 53,688,415,245.04
  5. Step 5: Solve for x
    x = 53,688,415,245.04/201,780.38
  6. Step 6: Final answer
    x = 266,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.