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Finding the Fourth Proportional to 320,991.92, 442,968.60 and 177,752

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Solution

The fourth proportional to 320,991.92, 442,968.60 and 177,752 is: 245,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,991.92 : 442,968.60 = 177,752 : x
  2. Step 2: Convert to fraction form
    320,991.92/442,968.60 = 177,752/x
  3. Step 3: Cross multiply
    320,991.92x = 442,968.60 × 177,752
  4. Step 4: Simplify right side
    320,991.92x = 78,738,554,587.20
  5. Step 5: Solve for x
    x = 78,738,554,587.20/320,991.92
  6. Step 6: Final answer
    x = 245,297.62

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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.