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Finding the Fourth Proportional to 256,906.44, 354,649.92 and 149,437.32

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Solution

The fourth proportional to 256,906.44, 354,649.92 and 149,437.32 is: 206,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.44 : 354,649.92 = 149,437.32 : x
  2. Step 2: Convert to fraction form
    256,906.44/354,649.92 = 149,437.32/x
  3. Step 3: Cross multiply
    256,906.44x = 354,649.92 × 149,437.32
  4. Step 4: Simplify right side
    256,906.44x = 52,997,933,583.01
  5. Step 5: Solve for x
    x = 52,997,933,583.01/256,906.44
  6. Step 6: Final answer
    x = 206,292.74

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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.