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Finding the Fourth Proportional to 256,493.26, 384,759.22 and 76,564.47

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Solution

The fourth proportional to 256,493.26, 384,759.22 and 76,564.47 is: 114,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,493.26 : 384,759.22 = 76,564.47 : x
  2. Step 2: Convert to fraction form
    256,493.26/384,759.22 = 76,564.47/x
  3. Step 3: Cross multiply
    256,493.26x = 384,759.22 × 76,564.47
  4. Step 4: Simplify right side
    256,493.26x = 29,458,885,374.09
  5. Step 5: Solve for x
    x = 29,458,885,374.09/256,493.26
  6. Step 6: Final answer
    x = 114,852.47

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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.