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Finding the Fourth Proportional to 288,857.85, 398,724.05 and 198,512.88

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Solution

The fourth proportional to 288,857.85, 398,724.05 and 198,512.88 is: 274,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,857.85 : 398,724.05 = 198,512.88 : x
  2. Step 2: Convert to fraction form
    288,857.85/398,724.05 = 198,512.88/x
  3. Step 3: Cross multiply
    288,857.85x = 398,724.05 × 198,512.88
  4. Step 4: Simplify right side
    288,857.85x = 79,151,858,498.20
  5. Step 5: Solve for x
    x = 79,151,858,498.20/288,857.85
  6. Step 6: Final answer
    x = 274,016.64

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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.