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Finding the Fourth Proportional to 256,828.48, 384,921.84 and 123,684

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Solution

The fourth proportional to 256,828.48, 384,921.84 and 123,684 is: 185,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,828.48 : 384,921.84 = 123,684 : x
  2. Step 2: Convert to fraction form
    256,828.48/384,921.84 = 123,684/x
  3. Step 3: Cross multiply
    256,828.48x = 384,921.84 × 123,684
  4. Step 4: Simplify right side
    256,828.48x = 47,608,672,858.56
  5. Step 5: Solve for x
    x = 47,608,672,858.56/256,828.48
  6. Step 6: Final answer
    x = 185,371.47

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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.