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Finding the Fourth Proportional to 338,229.96, 465,694.02 and 287,141.64

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Solution

The fourth proportional to 338,229.96, 465,694.02 and 287,141.64 is: 395,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,229.96 : 465,694.02 = 287,141.64 : x
  2. Step 2: Convert to fraction form
    338,229.96/465,694.02 = 287,141.64/x
  3. Step 3: Cross multiply
    338,229.96x = 465,694.02 × 287,141.64
  4. Step 4: Simplify right side
    338,229.96x = 133,720,144,640.99
  5. Step 5: Solve for x
    x = 133,720,144,640.99/338,229.96
  6. Step 6: Final answer
    x = 395,352.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.