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Finding the Fourth Proportional to 321,053.96, 442,634.32 and 276,213.58

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Solution

The fourth proportional to 321,053.96, 442,634.32 and 276,213.58 is: 380,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,053.96 : 442,634.32 = 276,213.58 : x
  2. Step 2: Convert to fraction form
    321,053.96/442,634.32 = 276,213.58/x
  3. Step 3: Cross multiply
    321,053.96x = 442,634.32 × 276,213.58
  4. Step 4: Simplify right side
    321,053.96x = 122,261,609,396.75
  5. Step 5: Solve for x
    x = 122,261,609,396.75/321,053.96
  6. Step 6: Final answer
    x = 380,813.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.