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Finding the Fourth Proportional to 686,099, 1,029,499.50 and 326,676.44

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Solution

The fourth proportional to 686,099, 1,029,499.50 and 326,676.44 is: 490,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,099 : 1,029,499.50 = 326,676.44 : x
  2. Step 2: Convert to fraction form
    686,099/1,029,499.50 = 326,676.44/x
  3. Step 3: Cross multiply
    686,099x = 1,029,499.50 × 326,676.44
  4. Step 4: Simplify right side
    686,099x = 336,313,231,641.78
  5. Step 5: Solve for x
    x = 336,313,231,641.78/686,099
  6. Step 6: Final answer
    x = 490,181.78

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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.