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Finding the Fourth Proportional to 235,374.82, 352,929.31 and 215,290.09

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Solution

The fourth proportional to 235,374.82, 352,929.31 and 215,290.09 is: 322,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,374.82 : 352,929.31 = 215,290.09 : x
  2. Step 2: Convert to fraction form
    235,374.82/352,929.31 = 215,290.09/x
  3. Step 3: Cross multiply
    235,374.82x = 352,929.31 × 215,290.09
  4. Step 4: Simplify right side
    235,374.82x = 75,982,182,913.54
  5. Step 5: Solve for x
    x = 75,982,182,913.54/235,374.82
  6. Step 6: Final answer
    x = 322,813.56

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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.