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Finding the Fourth Proportional to 306,183.54, 422,739.47 and 273,817.74

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Solution

The fourth proportional to 306,183.54, 422,739.47 and 273,817.74 is: 378,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,183.54 : 422,739.47 = 273,817.74 : x
  2. Step 2: Convert to fraction form
    306,183.54/422,739.47 = 273,817.74/x
  3. Step 3: Cross multiply
    306,183.54x = 422,739.47 × 273,817.74
  4. Step 4: Simplify right side
    306,183.54x = 115,753,566,968.74
  5. Step 5: Solve for x
    x = 115,753,566,968.74/306,183.54
  6. Step 6: Final answer
    x = 378,052.87

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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.