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Finding the Fourth Proportional to 256,493.39, 384,759.43 and 76,564.61

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Solution

The fourth proportional to 256,493.39, 384,759.43 and 76,564.61 is: 114,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,493.39 : 384,759.43 = 76,564.61 : x
  2. Step 2: Convert to fraction form
    256,493.39/384,759.43 = 76,564.61/x
  3. Step 3: Cross multiply
    256,493.39x = 384,759.43 × 76,564.61
  4. Step 4: Simplify right side
    256,493.39x = 29,458,953,395.15
  5. Step 5: Solve for x
    x = 29,458,953,395.15/256,493.39
  6. Step 6: Final answer
    x = 114,852.68

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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.