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Finding the Fourth Proportional to 288,604.67, 398,383.74 and 217,191.83

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Solution

The fourth proportional to 288,604.67, 398,383.74 and 217,191.83 is: 299,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,604.67 : 398,383.74 = 217,191.83 : x
  2. Step 2: Convert to fraction form
    288,604.67/398,383.74 = 217,191.83/x
  3. Step 3: Cross multiply
    288,604.67x = 398,383.74 × 217,191.83
  4. Step 4: Simplify right side
    288,604.67x = 86,525,691,540.93
  5. Step 5: Solve for x
    x = 86,525,691,540.93/288,604.67
  6. Step 6: Final answer
    x = 299,806.97

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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.