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Finding the Fourth Proportional to 204,415.60, 306,623.40 and 133,556.80

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Solution

The fourth proportional to 204,415.60, 306,623.40 and 133,556.80 is: 200,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,415.60 : 306,623.40 = 133,556.80 : x
  2. Step 2: Convert to fraction form
    204,415.60/306,623.40 = 133,556.80/x
  3. Step 3: Cross multiply
    204,415.60x = 306,623.40 × 133,556.80
  4. Step 4: Simplify right side
    204,415.60x = 40,951,640,109.12
  5. Step 5: Solve for x
    x = 40,951,640,109.12/204,415.60
  6. Step 6: Final answer
    x = 200,335.20

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1.5x scale

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.