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Finding the Fourth Proportional to 381,218.33, 571,817.77 and 100,738.01

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Solution

The fourth proportional to 381,218.33, 571,817.77 and 100,738.01 is: 151,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,218.33 : 571,817.77 = 100,738.01 : x
  2. Step 2: Convert to fraction form
    381,218.33/571,817.77 = 100,738.01/x
  3. Step 3: Cross multiply
    381,218.33x = 571,817.77 × 100,738.01
  4. Step 4: Simplify right side
    381,218.33x = 57,603,785,410.14
  5. Step 5: Solve for x
    x = 57,603,785,410.14/381,218.33
  6. Step 6: Final answer
    x = 151,104.45

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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.