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Finding the Fourth Proportional to 299,209.97, 412,946.07 and 218,597.15

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Solution

The fourth proportional to 299,209.97, 412,946.07 and 218,597.15 is: 301,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,209.97 : 412,946.07 = 218,597.15 : x
  2. Step 2: Convert to fraction form
    299,209.97/412,946.07 = 218,597.15/x
  3. Step 3: Cross multiply
    299,209.97x = 412,946.07 × 218,597.15
  4. Step 4: Simplify right side
    299,209.97x = 90,268,834,218.33
  5. Step 5: Solve for x
    x = 90,268,834,218.33/299,209.97
  6. Step 6: Final answer
    x = 301,690.59

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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.