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Finding the Fourth Proportional to 655,223.67, 982,834.61 and 205,983.81

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Solution

The fourth proportional to 655,223.67, 982,834.61 and 205,983.81 is: 308,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,223.67 : 982,834.61 = 205,983.81 : x
  2. Step 2: Convert to fraction form
    655,223.67/982,834.61 = 205,983.81/x
  3. Step 3: Cross multiply
    655,223.67x = 982,834.61 × 205,983.81
  4. Step 4: Simplify right side
    655,223.67x = 202,448,016,537.75
  5. Step 5: Solve for x
    x = 202,448,016,537.75/655,223.67
  6. Step 6: Final answer
    x = 308,975.43

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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.