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Finding the Fourth Proportional to 256,684.82, 384,928.80 and 88,173.74

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Solution

The fourth proportional to 256,684.82, 384,928.80 and 88,173.74 is: 132,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684.82 : 384,928.80 = 88,173.74 : x
  2. Step 2: Convert to fraction form
    256,684.82/384,928.80 = 88,173.74/x
  3. Step 3: Cross multiply
    256,684.82x = 384,928.80 × 88,173.74
  4. Step 4: Simplify right side
    256,684.82x = 33,940,610,005.07
  5. Step 5: Solve for x
    x = 33,940,610,005.07/256,684.82
  6. Step 6: Final answer
    x = 132,226.79

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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.