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Finding the Fourth Proportional to 288,226.90, 397,770.78 and 160,911.10

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Solution

The fourth proportional to 288,226.90, 397,770.78 and 160,911.10 is: 222,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,226.90 : 397,770.78 = 160,911.10 : x
  2. Step 2: Convert to fraction form
    288,226.90/397,770.78 = 160,911.10/x
  3. Step 3: Cross multiply
    288,226.90x = 397,770.78 × 160,911.10
  4. Step 4: Simplify right side
    288,226.90x = 64,005,733,757.66
  5. Step 5: Solve for x
    x = 64,005,733,757.66/288,226.90
  6. Step 6: Final answer
    x = 222,067.18

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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.