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Finding the Fourth Proportional to 340,229.97, 469,486.80 and 196,999.65

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Solution

The fourth proportional to 340,229.97, 469,486.80 and 196,999.65 is: 271,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,229.97 : 469,486.80 = 196,999.65 : x
  2. Step 2: Convert to fraction form
    340,229.97/469,486.80 = 196,999.65/x
  3. Step 3: Cross multiply
    340,229.97x = 469,486.80 × 196,999.65
  4. Step 4: Simplify right side
    340,229.97x = 92,488,735,279.62
  5. Step 5: Solve for x
    x = 92,488,735,279.62/340,229.97
  6. Step 6: Final answer
    x = 271,841.82

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1.5x scale

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.