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Finding the Fourth Proportional to 655,235.12, 982,851.92 and 205,995.25

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Solution

The fourth proportional to 655,235.12, 982,851.92 and 205,995.25 is: 308,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,235.12 : 982,851.92 = 205,995.25 : x
  2. Step 2: Convert to fraction form
    655,235.12/982,851.92 = 205,995.25/x
  3. Step 3: Cross multiply
    655,235.12x = 982,851.92 × 205,995.25
  4. Step 4: Simplify right side
    655,235.12x = 202,462,829,103.17
  5. Step 5: Solve for x
    x = 202,462,829,103.17/655,235.12
  6. Step 6: Final answer
    x = 308,992.64

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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.