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Finding the Fourth Proportional to 320,982, 442,949.71 and 177,738.97

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Solution

The fourth proportional to 320,982, 442,949.71 and 177,738.97 is: 245,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,982 : 442,949.71 = 177,738.97 : x
  2. Step 2: Convert to fraction form
    320,982/442,949.71 = 177,738.97/x
  3. Step 3: Cross multiply
    320,982x = 442,949.71 × 177,738.97
  4. Step 4: Simplify right side
    320,982x = 78,729,422,113.76
  5. Step 5: Solve for x
    x = 78,729,422,113.76/320,982
  6. Step 6: Final answer
    x = 245,276.75

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1.5x scale

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.