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Finding the Fourth Proportional to 310,665.54, 428,709.78 and 188,230.41

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Solution

The fourth proportional to 310,665.54, 428,709.78 and 188,230.41 is: 259,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,665.54 : 428,709.78 = 188,230.41 : x
  2. Step 2: Convert to fraction form
    310,665.54/428,709.78 = 188,230.41/x
  3. Step 3: Cross multiply
    310,665.54x = 428,709.78 × 188,230.41
  4. Step 4: Simplify right side
    310,665.54x = 80,696,217,660.41
  5. Step 5: Solve for x
    x = 80,696,217,660.41/310,665.54
  6. Step 6: Final answer
    x = 259,752.72

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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.