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Finding the Fourth Proportional to 381,100.30, 571,650.46 and 100,619.98

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Solution

The fourth proportional to 381,100.30, 571,650.46 and 100,619.98 is: 150,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,100.30 : 571,650.46 = 100,619.98 : x
  2. Step 2: Convert to fraction form
    381,100.30/571,650.46 = 100,619.98/x
  3. Step 3: Cross multiply
    381,100.30x = 571,650.46 × 100,619.98
  4. Step 4: Simplify right side
    381,100.30x = 57,519,456,171.51
  5. Step 5: Solve for x
    x = 57,519,456,171.51/381,100.30
  6. Step 6: Final answer
    x = 150,929.97

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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.