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Finding the Fourth Proportional to 256,474.40, 384,719.46 and 87,992.38

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Solution

The fourth proportional to 256,474.40, 384,719.46 and 87,992.38 is: 131,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,474.40 : 384,719.46 = 87,992.38 : x
  2. Step 2: Convert to fraction form
    256,474.40/384,719.46 = 87,992.38/x
  3. Step 3: Cross multiply
    256,474.40x = 384,719.46 × 87,992.38
  4. Step 4: Simplify right side
    256,474.40x = 33,852,378,904.60
  5. Step 5: Solve for x
    x = 33,852,378,904.60/256,474.40
  6. Step 6: Final answer
    x = 131,991.26

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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.