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Finding the Fourth Proportional to 693,378, 1,040,067 and 168,066

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Solution

The fourth proportional to 693,378, 1,040,067 and 168,066 is: 252,099

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,378 : 1,040,067 = 168,066 : x
  2. Step 2: Convert to fraction form
    693,378/1,040,067 = 168,066/x
  3. Step 3: Cross multiply
    693,378x = 1,040,067 × 168,066
  4. Step 4: Simplify right side
    693,378x = 174,799,900,422
  5. Step 5: Solve for x
    x = 174,799,900,422/693,378
  6. Step 6: Final answer
    x = 252,099

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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.