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Finding the Fourth Proportional to 381,005.66, 571,464.68 and 100,544.78

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Solution

The fourth proportional to 381,005.66, 571,464.68 and 100,544.78 is: 150,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,005.66 : 571,464.68 = 100,544.78 : x
  2. Step 2: Convert to fraction form
    381,005.66/571,464.68 = 100,544.78/x
  3. Step 3: Cross multiply
    381,005.66x = 571,464.68 × 100,544.78
  4. Step 4: Simplify right side
    381,005.66x = 57,457,790,528.37
  5. Step 5: Solve for x
    x = 57,457,790,528.37/381,005.66
  6. Step 6: Final answer
    x = 150,805.61

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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.