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Finding the Fourth Proportional to 863,463.78, 1,295,198.78 and 264,422.34

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Solution

The fourth proportional to 863,463.78, 1,295,198.78 and 264,422.34 is: 396,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,463.78 : 1,295,198.78 = 264,422.34 : x
  2. Step 2: Convert to fraction form
    863,463.78/1,295,198.78 = 264,422.34/x
  3. Step 3: Cross multiply
    863,463.78x = 1,295,198.78 × 264,422.34
  4. Step 4: Simplify right side
    863,463.78x = 342,479,490,850.63
  5. Step 5: Solve for x
    x = 342,479,490,850.63/863,463.78
  6. Step 6: Final answer
    x = 396,634.46

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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.