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Finding the Fourth Proportional to 305,227.49, 457,906.85 and 102,843.71

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Solution

The fourth proportional to 305,227.49, 457,906.85 and 102,843.71 is: 154,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,227.49 : 457,906.85 = 102,843.71 : x
  2. Step 2: Convert to fraction form
    305,227.49/457,906.85 = 102,843.71/x
  3. Step 3: Cross multiply
    305,227.49x = 457,906.85 × 102,843.71
  4. Step 4: Simplify right side
    305,227.49x = 47,092,836,484.66
  5. Step 5: Solve for x
    x = 47,092,836,484.66/305,227.49
  6. Step 6: Final answer
    x = 154,287.67

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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.