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Finding the Fourth Proportional to 655,109.56, 982,676.46 and 205,822

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Solution

The fourth proportional to 655,109.56, 982,676.46 and 205,822 is: 308,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,109.56 : 982,676.46 = 205,822 : x
  2. Step 2: Convert to fraction form
    655,109.56/982,676.46 = 205,822/x
  3. Step 3: Cross multiply
    655,109.56x = 982,676.46 × 205,822
  4. Step 4: Simplify right side
    655,109.56x = 202,256,434,350.12
  5. Step 5: Solve for x
    x = 202,256,434,350.12/655,109.56
  6. Step 6: Final answer
    x = 308,736.81

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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.