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Finding the Fourth Proportional to 381,010.40, 571,471.77 and 100,549.52

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Solution

The fourth proportional to 381,010.40, 571,471.77 and 100,549.52 is: 150,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,010.40 : 571,471.77 = 100,549.52 : x
  2. Step 2: Convert to fraction form
    381,010.40/571,471.77 = 100,549.52/x
  3. Step 3: Cross multiply
    381,010.40x = 571,471.77 × 100,549.52
  4. Step 4: Simplify right side
    381,010.40x = 57,461,212,167.05
  5. Step 5: Solve for x
    x = 57,461,212,167.05/381,010.40
  6. Step 6: Final answer
    x = 150,812.71

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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.