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Finding the Fourth Proportional to 232,978.89, 321,297.66 and 172,699.71

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Solution

The fourth proportional to 232,978.89, 321,297.66 and 172,699.71 is: 238,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,978.89 : 321,297.66 = 172,699.71 : x
  2. Step 2: Convert to fraction form
    232,978.89/321,297.66 = 172,699.71/x
  3. Step 3: Cross multiply
    232,978.89x = 321,297.66 × 172,699.71
  4. Step 4: Simplify right side
    232,978.89x = 55,488,012,705.68
  5. Step 5: Solve for x
    x = 55,488,012,705.68/232,978.89
  6. Step 6: Final answer
    x = 238,167.56

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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.