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Finding the Fourth Proportional to 381,004.25, 571,462.63 and 100,543.37

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Solution

The fourth proportional to 381,004.25, 571,462.63 and 100,543.37 is: 150,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,004.25 : 571,462.63 = 100,543.37 : x
  2. Step 2: Convert to fraction form
    381,004.25/571,462.63 = 100,543.37/x
  3. Step 3: Cross multiply
    381,004.25x = 571,462.63 × 100,543.37
  4. Step 4: Simplify right side
    381,004.25x = 57,456,775,540.59
  5. Step 5: Solve for x
    x = 57,456,775,540.59/381,004.25
  6. Step 6: Final answer
    x = 150,803.50

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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.