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Finding the Fourth Proportional to 821,242, 1,231,866.06 and 252,619.30

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Solution

The fourth proportional to 821,242, 1,231,866.06 and 252,619.30 is: 378,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,242 : 1,231,866.06 = 252,619.30 : x
  2. Step 2: Convert to fraction form
    821,242/1,231,866.06 = 252,619.30/x
  3. Step 3: Cross multiply
    821,242x = 1,231,866.06 × 252,619.30
  4. Step 4: Simplify right side
    821,242x = 311,193,141,770.96
  5. Step 5: Solve for x
    x = 311,193,141,770.96/821,242
  6. Step 6: Final answer
    x = 378,929.89

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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.