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Finding the Fourth Proportional to 298,209.97, 410,962.86 and 213,179.41

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Solution

The fourth proportional to 298,209.97, 410,962.86 and 213,179.41 is: 293,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209.97 : 410,962.86 = 213,179.41 : x
  2. Step 2: Convert to fraction form
    298,209.97/410,962.86 = 213,179.41/x
  3. Step 3: Cross multiply
    298,209.97x = 410,962.86 × 213,179.41
  4. Step 4: Simplify right side
    298,209.97x = 87,608,820,026.71
  5. Step 5: Solve for x
    x = 87,608,820,026.71/298,209.97
  6. Step 6: Final answer
    x = 293,782.33

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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.