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Finding the Fourth Proportional to 256,725.37, 354,238.07 and 149,299.93

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Solution

The fourth proportional to 256,725.37, 354,238.07 and 149,299.93 is: 206,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,725.37 : 354,238.07 = 149,299.93 : x
  2. Step 2: Convert to fraction form
    256,725.37/354,238.07 = 149,299.93/x
  3. Step 3: Cross multiply
    256,725.37x = 354,238.07 × 149,299.93
  4. Step 4: Simplify right side
    256,725.37x = 52,887,719,054.34
  5. Step 5: Solve for x
    x = 52,887,719,054.34/256,725.37
  6. Step 6: Final answer
    x = 206,008.93

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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.