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Finding the Fourth Proportional to 217,800, 299,630.88 and 208,468.80

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Solution

The fourth proportional to 217,800, 299,630.88 and 208,468.80 is: 286,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,800 : 299,630.88 = 208,468.80 : x
  2. Step 2: Convert to fraction form
    217,800/299,630.88 = 208,468.80/x
  3. Step 3: Cross multiply
    217,800x = 299,630.88 × 208,468.80
  4. Step 4: Simplify right side
    217,800x = 62,463,689,996.54
  5. Step 5: Solve for x
    x = 62,463,689,996.54/217,800
  6. Step 6: Final answer
    x = 286,793.80

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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.