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Finding the Fourth Proportional to 381,416.45, 571,427.06 and 178,640.37

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Solution

The fourth proportional to 381,416.45, 571,427.06 and 178,640.37 is: 267,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,416.45 : 571,427.06 = 178,640.37 : x
  2. Step 2: Convert to fraction form
    381,416.45/571,427.06 = 178,640.37/x
  3. Step 3: Cross multiply
    381,416.45x = 571,427.06 × 178,640.37
  4. Step 4: Simplify right side
    381,416.45x = 102,079,940,533.21
  5. Step 5: Solve for x
    x = 102,079,940,533.21/381,416.45
  6. Step 6: Final answer
    x = 267,633.82

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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.