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Finding the Fourth Proportional to 320,383, 442,111.26 and 177,134.68

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Solution

The fourth proportional to 320,383, 442,111.26 and 177,134.68 is: 244,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,383 : 442,111.26 = 177,134.68 : x
  2. Step 2: Convert to fraction form
    320,383/442,111.26 = 177,134.68/x
  3. Step 3: Cross multiply
    320,383x = 442,111.26 × 177,134.68
  4. Step 4: Simplify right side
    320,383x = 78,313,236,564.50
  5. Step 5: Solve for x
    x = 78,313,236,564.50/320,383
  6. Step 6: Final answer
    x = 244,436.30

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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.