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Finding the Fourth Proportional to 381,021.36, 571,553.64 and 114,818.64

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Solution

The fourth proportional to 381,021.36, 571,553.64 and 114,818.64 is: 172,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,021.36 : 571,553.64 = 114,818.64 : x
  2. Step 2: Convert to fraction form
    381,021.36/571,553.64 = 114,818.64/x
  3. Step 3: Cross multiply
    381,021.36x = 571,553.64 × 114,818.64
  4. Step 4: Simplify right side
    381,021.36x = 65,625,011,631.85
  5. Step 5: Solve for x
    x = 65,625,011,631.85/381,021.36
  6. Step 6: Final answer
    x = 172,234.47

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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.