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Finding the Fourth Proportional to 288,682.56, 398,380.80 and 161,358.12

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Solution

The fourth proportional to 288,682.56, 398,380.80 and 161,358.12 is: 222,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,682.56 : 398,380.80 = 161,358.12 : x
  2. Step 2: Convert to fraction form
    288,682.56/398,380.80 = 161,358.12/x
  3. Step 3: Cross multiply
    288,682.56x = 398,380.80 × 161,358.12
  4. Step 4: Simplify right side
    288,682.56x = 64,281,976,932.10
  5. Step 5: Solve for x
    x = 64,281,976,932.10/288,682.56
  6. Step 6: Final answer
    x = 222,673.57

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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.