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Finding the Fourth Proportional to 256,993, 385,233.54 and 123,835.48

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Solution

The fourth proportional to 256,993, 385,233.54 and 123,835.48 is: 185,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,993 : 385,233.54 = 123,835.48 : x
  2. Step 2: Convert to fraction form
    256,993/385,233.54 = 123,835.48/x
  3. Step 3: Cross multiply
    256,993x = 385,233.54 × 123,835.48
  4. Step 4: Simplify right side
    256,993x = 47,705,580,338.00
  5. Step 5: Solve for x
    x = 47,705,580,338.00/256,993
  6. Step 6: Final answer
    x = 185,629.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.