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Finding the Fourth Proportional to 217,496.80, 326,151.95 and 117,629.88

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Solution

The fourth proportional to 217,496.80, 326,151.95 and 117,629.88 is: 176,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,496.80 : 326,151.95 = 117,629.88 : x
  2. Step 2: Convert to fraction form
    217,496.80/326,151.95 = 117,629.88/x
  3. Step 3: Cross multiply
    217,496.80x = 326,151.95 × 117,629.88
  4. Step 4: Simplify right side
    217,496.80x = 38,365,214,740.27
  5. Step 5: Solve for x
    x = 38,365,214,740.27/217,496.80
  6. Step 6: Final answer
    x = 176,394.39

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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.