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Finding the Fourth Proportional to 655,111.56, 982,679.46 and 205,824

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Solution

The fourth proportional to 655,111.56, 982,679.46 and 205,824 is: 308,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,111.56 : 982,679.46 = 205,824 : x
  2. Step 2: Convert to fraction form
    655,111.56/982,679.46 = 205,824/x
  3. Step 3: Cross multiply
    655,111.56x = 982,679.46 × 205,824
  4. Step 4: Simplify right side
    655,111.56x = 202,259,017,175.04
  5. Step 5: Solve for x
    x = 202,259,017,175.04/655,111.56
  6. Step 6: Final answer
    x = 308,739.81

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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.