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Finding the Fourth Proportional to 381,204, 571,690.80 and 114,942.24

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Solution

The fourth proportional to 381,204, 571,690.80 and 114,942.24 is: 172,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,204 : 571,690.80 = 114,942.24 : x
  2. Step 2: Convert to fraction form
    381,204/571,690.80 = 114,942.24/x
  3. Step 3: Cross multiply
    381,204x = 571,690.80 × 114,942.24
  4. Step 4: Simplify right side
    381,204x = 65,711,421,139.39
  5. Step 5: Solve for x
    x = 65,711,421,139.39/381,204
  6. Step 6: Final answer
    x = 172,378.62

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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.