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Finding the Fourth Proportional to 655,220.10, 982,782.72 and 206,069.43

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Solution

The fourth proportional to 655,220.10, 982,782.72 and 206,069.43 is: 309,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,220.10 : 982,782.72 = 206,069.43 : x
  2. Step 2: Convert to fraction form
    655,220.10/982,782.72 = 206,069.43/x
  3. Step 3: Cross multiply
    655,220.10x = 982,782.72 × 206,069.43
  4. Step 4: Simplify right side
    655,220.10x = 202,521,474,924.25
  5. Step 5: Solve for x
    x = 202,521,474,924.25/655,220.10
  6. Step 6: Final answer
    x = 309,089.23

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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.