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Finding the Fourth Proportional to 787,986, 1,181,979 and 197,010

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Solution

The fourth proportional to 787,986, 1,181,979 and 197,010 is: 295,515

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,986 : 1,181,979 = 197,010 : x
  2. Step 2: Convert to fraction form
    787,986/1,181,979 = 197,010/x
  3. Step 3: Cross multiply
    787,986x = 1,181,979 × 197,010
  4. Step 4: Simplify right side
    787,986x = 232,861,682,790
  5. Step 5: Solve for x
    x = 232,861,682,790/787,986
  6. Step 6: Final answer
    x = 295,515

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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.