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Finding the Fourth Proportional to 208,769.48, 287,704.14 and 204,930.80

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Solution

The fourth proportional to 208,769.48, 287,704.14 and 204,930.80 is: 282,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,769.48 : 287,704.14 = 204,930.80 : x
  2. Step 2: Convert to fraction form
    208,769.48/287,704.14 = 204,930.80/x
  3. Step 3: Cross multiply
    208,769.48x = 287,704.14 × 204,930.80
  4. Step 4: Simplify right side
    208,769.48x = 58,959,439,573.51
  5. Step 5: Solve for x
    x = 58,959,439,573.51/208,769.48
  6. Step 6: Final answer
    x = 282,414.07

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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.