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Finding the Fourth Proportional to 264,208.78, 396,229.92 and 86,674.42

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Solution

The fourth proportional to 264,208.78, 396,229.92 and 86,674.42 is: 129,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,208.78 : 396,229.92 = 86,674.42 : x
  2. Step 2: Convert to fraction form
    264,208.78/396,229.92 = 86,674.42/x
  3. Step 3: Cross multiply
    264,208.78x = 396,229.92 × 86,674.42
  4. Step 4: Simplify right side
    264,208.78x = 34,342,999,160.45
  5. Step 5: Solve for x
    x = 34,342,999,160.45/264,208.78
  6. Step 6: Final answer
    x = 129,984.32

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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.