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Finding the Fourth Proportional to 216,397.53, 298,711.91 and 193,696.47

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Solution

The fourth proportional to 216,397.53, 298,711.91 and 193,696.47 is: 267,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,397.53 : 298,711.91 = 193,696.47 : x
  2. Step 2: Convert to fraction form
    216,397.53/298,711.91 = 193,696.47/x
  3. Step 3: Cross multiply
    216,397.53x = 298,711.91 × 193,696.47
  4. Step 4: Simplify right side
    216,397.53x = 57,859,442,998.20
  5. Step 5: Solve for x
    x = 57,859,442,998.20/216,397.53
  6. Step 6: Final answer
    x = 267,375.71

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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.