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Finding the Fourth Proportional to 381,174.05, 571,665.17 and 156,596.49

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Solution

The fourth proportional to 381,174.05, 571,665.17 and 156,596.49 is: 234,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,174.05 : 571,665.17 = 156,596.49 : x
  2. Step 2: Convert to fraction form
    381,174.05/571,665.17 = 156,596.49/x
  3. Step 3: Cross multiply
    381,174.05x = 571,665.17 × 156,596.49
  4. Step 4: Simplify right side
    381,174.05x = 89,520,759,028.32
  5. Step 5: Solve for x
    x = 89,520,759,028.32/381,174.05
  6. Step 6: Final answer
    x = 234,855.33

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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.