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Finding the Fourth Proportional to 320,828, 442,736.24 and 177,588

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Solution

The fourth proportional to 320,828, 442,736.24 and 177,588 is: 245,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,828 : 442,736.24 = 177,588 : x
  2. Step 2: Convert to fraction form
    320,828/442,736.24 = 177,588/x
  3. Step 3: Cross multiply
    320,828x = 442,736.24 × 177,588
  4. Step 4: Simplify right side
    320,828x = 78,624,643,389.12
  5. Step 5: Solve for x
    x = 78,624,643,389.12/320,828
  6. Step 6: Final answer
    x = 245,067.90

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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.