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Finding the Fourth Proportional to 256,839.13, 354,439.28 and 143,661.88

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Solution

The fourth proportional to 256,839.13, 354,439.28 and 143,661.88 is: 198,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,839.13 : 354,439.28 = 143,661.88 : x
  2. Step 2: Convert to fraction form
    256,839.13/354,439.28 = 143,661.88/x
  3. Step 3: Cross multiply
    256,839.13x = 354,439.28 × 143,661.88
  4. Step 4: Simplify right side
    256,839.13x = 50,919,413,310.65
  5. Step 5: Solve for x
    x = 50,919,413,310.65/256,839.13
  6. Step 6: Final answer
    x = 198,254.11

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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.