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Finding the Fourth Proportional to 256,297.10, 384,409.20 and 87,825.20

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Solution

The fourth proportional to 256,297.10, 384,409.20 and 87,825.20 is: 131,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,297.10 : 384,409.20 = 87,825.20 : x
  2. Step 2: Convert to fraction form
    256,297.10/384,409.20 = 87,825.20/x
  3. Step 3: Cross multiply
    256,297.10x = 384,409.20 × 87,825.20
  4. Step 4: Simplify right side
    256,297.10x = 33,760,814,871.84
  5. Step 5: Solve for x
    x = 33,760,814,871.84/256,297.10
  6. Step 6: Final answer
    x = 131,725.31

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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.