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Finding the Fourth Proportional to 257,174.73, 355,578.05 and 225,251.82

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Solution

The fourth proportional to 257,174.73, 355,578.05 and 225,251.82 is: 311,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,174.73 : 355,578.05 = 225,251.82 : x
  2. Step 2: Convert to fraction form
    257,174.73/355,578.05 = 225,251.82/x
  3. Step 3: Cross multiply
    257,174.73x = 355,578.05 × 225,251.82
  4. Step 4: Simplify right side
    257,174.73x = 80,094,604,811.10
  5. Step 5: Solve for x
    x = 80,094,604,811.10/257,174.73
  6. Step 6: Final answer
    x = 311,440.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.