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Finding the Fourth Proportional to 256,938.44, 385,460.84 and 77,016.60

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Solution

The fourth proportional to 256,938.44, 385,460.84 and 77,016.60 is: 115,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,938.44 : 385,460.84 = 77,016.60 : x
  2. Step 2: Convert to fraction form
    256,938.44/385,460.84 = 77,016.60/x
  3. Step 3: Cross multiply
    256,938.44x = 385,460.84 × 77,016.60
  4. Step 4: Simplify right side
    256,938.44x = 29,686,883,329.94
  5. Step 5: Solve for x
    x = 29,686,883,329.94/256,938.44
  6. Step 6: Final answer
    x = 115,540.84

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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.