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Finding the Fourth Proportional to 288,360, 397,932.48 and 161,037.44

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Solution

The fourth proportional to 288,360, 397,932.48 and 161,037.44 is: 222,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,360 : 397,932.48 = 161,037.44 : x
  2. Step 2: Convert to fraction form
    288,360/397,932.48 = 161,037.44/x
  3. Step 3: Cross multiply
    288,360x = 397,932.48 × 161,037.44
  4. Step 4: Simplify right side
    288,360x = 64,082,027,872.05
  5. Step 5: Solve for x
    x = 64,082,027,872.05/288,360
  6. Step 6: Final answer
    x = 222,229.25

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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.