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Finding the Fourth Proportional to 206,077.60, 308,727.60 and 192,080.80

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Solution

The fourth proportional to 206,077.60, 308,727.60 and 192,080.80 is: 287,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077.60 : 308,727.60 = 192,080.80 : x
  2. Step 2: Convert to fraction form
    206,077.60/308,727.60 = 192,080.80/x
  3. Step 3: Cross multiply
    206,077.60x = 308,727.60 × 192,080.80
  4. Step 4: Simplify right side
    206,077.60x = 59,300,644,390.08
  5. Step 5: Solve for x
    x = 59,300,644,390.08/206,077.60
  6. Step 6: Final answer
    x = 287,758.81

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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.