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Finding the Fourth Proportional to 643,093.80, 964,778.94 and 216,672

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Solution

The fourth proportional to 643,093.80, 964,778.94 and 216,672 is: 325,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,093.80 : 964,778.94 = 216,672 : x
  2. Step 2: Convert to fraction form
    643,093.80/964,778.94 = 216,672/x
  3. Step 3: Cross multiply
    643,093.80x = 964,778.94 × 216,672
  4. Step 4: Simplify right side
    643,093.80x = 209,040,582,487.68
  5. Step 5: Solve for x
    x = 209,040,582,487.68/643,093.80
  6. Step 6: Final answer
    x = 325,054.58

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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.