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Finding the Fourth Proportional to 256,993.36, 354,615.98 and 149,480.44

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Solution

The fourth proportional to 256,993.36, 354,615.98 and 149,480.44 is: 206,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,993.36 : 354,615.98 = 149,480.44 : x
  2. Step 2: Convert to fraction form
    256,993.36/354,615.98 = 149,480.44/x
  3. Step 3: Cross multiply
    256,993.36x = 354,615.98 × 149,480.44
  4. Step 4: Simplify right side
    256,993.36x = 53,008,151,087.49
  5. Step 5: Solve for x
    x = 53,008,151,087.49/256,993.36
  6. Step 6: Final answer
    x = 206,262.73

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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.