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Finding the Fourth Proportional to 256,883.98, 354,571.22 and 149,474.84

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Solution

The fourth proportional to 256,883.98, 354,571.22 and 149,474.84 is: 206,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,883.98 : 354,571.22 = 149,474.84 : x
  2. Step 2: Convert to fraction form
    256,883.98/354,571.22 = 149,474.84/x
  3. Step 3: Cross multiply
    256,883.98x = 354,571.22 × 149,474.84
  4. Step 4: Simplify right side
    256,883.98x = 52,999,476,378.10
  5. Step 5: Solve for x
    x = 52,999,476,378.10/256,883.98
  6. Step 6: Final answer
    x = 206,316.78

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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.