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Finding the Fourth Proportional to 256,687.84, 354,087.04 and 149,246

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Solution

The fourth proportional to 256,687.84, 354,087.04 and 149,246 is: 205,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,687.84 : 354,087.04 = 149,246 : x
  2. Step 2: Convert to fraction form
    256,687.84/354,087.04 = 149,246/x
  3. Step 3: Cross multiply
    256,687.84x = 354,087.04 × 149,246
  4. Step 4: Simplify right side
    256,687.84x = 52,846,074,371.84
  5. Step 5: Solve for x
    x = 52,846,074,371.84/256,687.84
  6. Step 6: Final answer
    x = 205,876.81

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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.