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Finding the Fourth Proportional to 256,963.91, 385,224.21 and 123,660.78

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Solution

The fourth proportional to 256,963.91, 385,224.21 and 123,660.78 is: 185,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,963.91 : 385,224.21 = 123,660.78 : x
  2. Step 2: Convert to fraction form
    256,963.91/385,224.21 = 123,660.78/x
  3. Step 3: Cross multiply
    256,963.91x = 385,224.21 × 123,660.78
  4. Step 4: Simplify right side
    256,963.91x = 47,637,126,283.48
  5. Step 5: Solve for x
    x = 47,637,126,283.48/256,963.91
  6. Step 6: Final answer
    x = 185,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.