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Finding the Fourth Proportional to 282,021, 389,188.98 and 154,696.89

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Solution

The fourth proportional to 282,021, 389,188.98 and 154,696.89 is: 213,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,021 : 389,188.98 = 154,696.89 : x
  2. Step 2: Convert to fraction form
    282,021/389,188.98 = 154,696.89/x
  3. Step 3: Cross multiply
    282,021x = 389,188.98 × 154,696.89
  4. Step 4: Simplify right side
    282,021x = 60,206,324,828.27
  5. Step 5: Solve for x
    x = 60,206,324,828.27/282,021
  6. Step 6: Final answer
    x = 213,481.71

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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.