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Finding the Fourth Proportional to 275,398.32, 412,813.29 and 115,567.09

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Solution

The fourth proportional to 275,398.32, 412,813.29 and 115,567.09 is: 173,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,398.32 : 412,813.29 = 115,567.09 : x
  2. Step 2: Convert to fraction form
    275,398.32/412,813.29 = 115,567.09/x
  3. Step 3: Cross multiply
    275,398.32x = 412,813.29 × 115,567.09
  4. Step 4: Simplify right side
    275,398.32x = 47,707,632,362.04
  5. Step 5: Solve for x
    x = 47,707,632,362.04/275,398.32
  6. Step 6: Final answer
    x = 173,231.39

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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.