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Finding the Fourth Proportional to 320,993.52, 442,965.56 and 177,750.48

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Solution

The fourth proportional to 320,993.52, 442,965.56 and 177,750.48 is: 245,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,993.52 : 442,965.56 = 177,750.48 : x
  2. Step 2: Convert to fraction form
    320,993.52/442,965.56 = 177,750.48/x
  3. Step 3: Cross multiply
    320,993.52x = 442,965.56 × 177,750.48
  4. Step 4: Simplify right side
    320,993.52x = 78,737,340,913.47
  5. Step 5: Solve for x
    x = 78,737,340,913.47/320,993.52
  6. Step 6: Final answer
    x = 245,292.62

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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.