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Finding the Fourth Proportional to 819,196, 1,228,856.22 and 279,284.56

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Solution

The fourth proportional to 819,196, 1,228,856.22 and 279,284.56 is: 418,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,196 : 1,228,856.22 = 279,284.56 : x
  2. Step 2: Convert to fraction form
    819,196/1,228,856.22 = 279,284.56/x
  3. Step 3: Cross multiply
    819,196x = 1,228,856.22 × 279,284.56
  4. Step 4: Simplify right side
    819,196x = 343,200,568,705.96
  5. Step 5: Solve for x
    x = 343,200,568,705.96/819,196
  6. Step 6: Final answer
    x = 418,948.05

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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.