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Finding the Fourth Proportional to 256,772.70, 354,335.67 and 149,342.94

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Solution

The fourth proportional to 256,772.70, 354,335.67 and 149,342.94 is: 206,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,772.70 : 354,335.67 = 149,342.94 : x
  2. Step 2: Convert to fraction form
    256,772.70/354,335.67 = 149,342.94/x
  3. Step 3: Cross multiply
    256,772.70x = 354,335.67 × 149,342.94
  4. Step 4: Simplify right side
    256,772.70x = 52,917,530,704.67
  5. Step 5: Solve for x
    x = 52,917,530,704.67/256,772.70
  6. Step 6: Final answer
    x = 206,087.06

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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.