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Finding the Fourth Proportional to 270,908.60, 405,974.10 and 199,272.20

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Solution

The fourth proportional to 270,908.60, 405,974.10 and 199,272.20 is: 298,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,908.60 : 405,974.10 = 199,272.20 : x
  2. Step 2: Convert to fraction form
    270,908.60/405,974.10 = 199,272.20/x
  3. Step 3: Cross multiply
    270,908.60x = 405,974.10 × 199,272.20
  4. Step 4: Simplify right side
    270,908.60x = 80,899,352,050.02
  5. Step 5: Solve for x
    x = 80,899,352,050.02/270,908.60
  6. Step 6: Final answer
    x = 298,622.31

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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.