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Finding the Fourth Proportional to 256,725.52, 384,767.52 and 123,570.43

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Solution

The fourth proportional to 256,725.52, 384,767.52 and 123,570.43 is: 185,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,725.52 : 384,767.52 = 123,570.43 : x
  2. Step 2: Convert to fraction form
    256,725.52/384,767.52 = 123,570.43/x
  3. Step 3: Cross multiply
    256,725.52x = 384,767.52 × 123,570.43
  4. Step 4: Simplify right side
    256,725.52x = 47,545,887,896.43
  5. Step 5: Solve for x
    x = 47,545,887,896.43/256,725.52
  6. Step 6: Final answer
    x = 185,201.25

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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.