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Finding the Fourth Proportional to 288,736.20, 398,449.32 and 161,423.64

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Solution

The fourth proportional to 288,736.20, 398,449.32 and 161,423.64 is: 222,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,736.20 : 398,449.32 = 161,423.64 : x
  2. Step 2: Convert to fraction form
    288,736.20/398,449.32 = 161,423.64/x
  3. Step 3: Cross multiply
    288,736.20x = 398,449.32 × 161,423.64
  4. Step 4: Simplify right side
    288,736.20x = 64,319,139,589.92
  5. Step 5: Solve for x
    x = 64,319,139,589.92/288,736.20
  6. Step 6: Final answer
    x = 222,760.91

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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.