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Finding the Fourth Proportional to 777,100.50, 1,165,716.77 and 216,135

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Solution

The fourth proportional to 777,100.50, 1,165,716.77 and 216,135 is: 324,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,100.50 : 1,165,716.77 = 216,135 : x
  2. Step 2: Convert to fraction form
    777,100.50/1,165,716.77 = 216,135/x
  3. Step 3: Cross multiply
    777,100.50x = 1,165,716.77 × 216,135
  4. Step 4: Simplify right side
    777,100.50x = 251,952,193,003.28
  5. Step 5: Solve for x
    x = 251,952,193,003.28/777,100.50
  6. Step 6: Final answer
    x = 324,220.86

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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.