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Finding the Fourth Proportional to 266,755.56, 368,256.34 and 206,189.32

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Solution

The fourth proportional to 266,755.56, 368,256.34 and 206,189.32 is: 284,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,755.56 : 368,256.34 = 206,189.32 : x
  2. Step 2: Convert to fraction form
    266,755.56/368,256.34 = 206,189.32/x
  3. Step 3: Cross multiply
    266,755.56x = 368,256.34 × 206,189.32
  4. Step 4: Simplify right side
    266,755.56x = 75,930,524,330.29
  5. Step 5: Solve for x
    x = 75,930,524,330.29/266,755.56
  6. Step 6: Final answer
    x = 284,644.58

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1.5x scale

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.