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Finding the Fourth Proportional to 681,591.92, 940,335.28 and 409,725.95

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Solution

The fourth proportional to 681,591.92, 940,335.28 and 409,725.95 is: 565,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,591.92 : 940,335.28 = 409,725.95 : x
  2. Step 2: Convert to fraction form
    681,591.92/940,335.28 = 409,725.95/x
  3. Step 3: Cross multiply
    681,591.92x = 940,335.28 × 409,725.95
  4. Step 4: Simplify right side
    681,591.92x = 385,279,760,190.53
  5. Step 5: Solve for x
    x = 385,279,760,190.53/681,591.92
  6. Step 6: Final answer
    x = 565,264.57

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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.