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Finding the Fourth Proportional to 216,697.07, 324,689.92 and 208,391.94

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Solution

The fourth proportional to 216,697.07, 324,689.92 and 208,391.94 is: 312,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,697.07 : 324,689.92 = 208,391.94 : x
  2. Step 2: Convert to fraction form
    216,697.07/324,689.92 = 208,391.94/x
  3. Step 3: Cross multiply
    216,697.07x = 324,689.92 × 208,391.94
  4. Step 4: Simplify right side
    216,697.07x = 67,662,761,806.27
  5. Step 5: Solve for x
    x = 67,662,761,806.27/216,697.07
  6. Step 6: Final answer
    x = 312,245.85

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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.