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Finding the Fourth Proportional to 686,677.22, 1,029,819 and 206,951.48

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Solution

The fourth proportional to 686,677.22, 1,029,819 and 206,951.48 is: 310,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,677.22 : 1,029,819 = 206,951.48 : x
  2. Step 2: Convert to fraction form
    686,677.22/1,029,819 = 206,951.48/x
  3. Step 3: Cross multiply
    686,677.22x = 1,029,819 × 206,951.48
  4. Step 4: Simplify right side
    686,677.22x = 213,122,566,182.12
  5. Step 5: Solve for x
    x = 213,122,566,182.12/686,677.22
  6. Step 6: Final answer
    x = 310,367.90

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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.