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Finding the Fourth Proportional to 256,249.25, 384,244.83 and 85,410.46

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Solution

The fourth proportional to 256,249.25, 384,244.83 and 85,410.46 is: 128,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,249.25 : 384,244.83 = 85,410.46 : x
  2. Step 2: Convert to fraction form
    256,249.25/384,244.83 = 85,410.46/x
  3. Step 3: Cross multiply
    256,249.25x = 384,244.83 × 85,410.46
  4. Step 4: Simplify right side
    256,249.25x = 32,818,526,722.31
  5. Step 5: Solve for x
    x = 32,818,526,722.31/256,249.25
  6. Step 6: Final answer
    x = 128,072.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.