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Finding the Fourth Proportional to 381,003.66, 571,461.68 and 100,542.78

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Solution

The fourth proportional to 381,003.66, 571,461.68 and 100,542.78 is: 150,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,003.66 : 571,461.68 = 100,542.78 : x
  2. Step 2: Convert to fraction form
    381,003.66/571,461.68 = 100,542.78/x
  3. Step 3: Cross multiply
    381,003.66x = 571,461.68 × 100,542.78
  4. Step 4: Simplify right side
    381,003.66x = 57,456,345,970.67
  5. Step 5: Solve for x
    x = 57,456,345,970.67/381,003.66
  6. Step 6: Final answer
    x = 150,802.61

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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.