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Finding the Fourth Proportional to 381,546.28, 571,556.38 and 229,659.94

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Solution

The fourth proportional to 381,546.28, 571,556.38 and 229,659.94 is: 344,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,546.28 : 571,556.38 = 229,659.94 : x
  2. Step 2: Convert to fraction form
    381,546.28/571,556.38 = 229,659.94/x
  3. Step 3: Cross multiply
    381,546.28x = 571,556.38 × 229,659.94
  4. Step 4: Simplify right side
    381,546.28x = 131,263,603,937.42
  5. Step 5: Solve for x
    x = 131,263,603,937.42/381,546.28
  6. Step 6: Final answer
    x = 344,030.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.