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Finding the Fourth Proportional to 270,924.60, 405,998.10 and 199,288.20

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Solution

The fourth proportional to 270,924.60, 405,998.10 and 199,288.20 is: 298,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,924.60 : 405,998.10 = 199,288.20 : x
  2. Step 2: Convert to fraction form
    270,924.60/405,998.10 = 199,288.20/x
  3. Step 3: Cross multiply
    270,924.60x = 405,998.10 × 199,288.20
  4. Step 4: Simplify right side
    270,924.60x = 80,910,630,552.42
  5. Step 5: Solve for x
    x = 80,910,630,552.42/270,924.60
  6. Step 6: Final answer
    x = 298,646.30

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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.