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Finding the Fourth Proportional to 381,004.88, 571,463.52 and 100,544

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Solution

The fourth proportional to 381,004.88, 571,463.52 and 100,544 is: 150,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,004.88 : 571,463.52 = 100,544 : x
  2. Step 2: Convert to fraction form
    381,004.88/571,463.52 = 100,544/x
  3. Step 3: Cross multiply
    381,004.88x = 571,463.52 × 100,544
  4. Step 4: Simplify right side
    381,004.88x = 57,457,228,154.88
  5. Step 5: Solve for x
    x = 57,457,228,154.88/381,004.88
  6. Step 6: Final answer
    x = 150,804.44

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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.