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Finding the Fourth Proportional to 561,676.48, 842,847.66 and 206,939.44

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Solution

The fourth proportional to 561,676.48, 842,847.66 and 206,939.44 is: 310,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,676.48 : 842,847.66 = 206,939.44 : x
  2. Step 2: Convert to fraction form
    561,676.48/842,847.66 = 206,939.44/x
  3. Step 3: Cross multiply
    561,676.48x = 842,847.66 × 206,939.44
  4. Step 4: Simplify right side
    561,676.48x = 174,418,422,765.71
  5. Step 5: Solve for x
    x = 174,418,422,765.71/561,676.48
  6. Step 6: Final answer
    x = 310,531.83

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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.