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Finding the Fourth Proportional to 839,847, 1,259,775.12 and 208,760.82

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Solution

The fourth proportional to 839,847, 1,259,775.12 and 208,760.82 is: 313,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,847 : 1,259,775.12 = 208,760.82 : x
  2. Step 2: Convert to fraction form
    839,847/1,259,775.12 = 208,760.82/x
  3. Step 3: Cross multiply
    839,847x = 1,259,775.12 × 208,760.82
  4. Step 4: Simplify right side
    839,847x = 262,991,687,066.80
  5. Step 5: Solve for x
    x = 262,991,687,066.80/839,847
  6. Step 6: Final answer
    x = 313,142.38

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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.