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Finding the Fourth Proportional to 256,096.40, 384,205.26 and 87,618.56

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Solution

The fourth proportional to 256,096.40, 384,205.26 and 87,618.56 is: 131,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,096.40 : 384,205.26 = 87,618.56 : x
  2. Step 2: Convert to fraction form
    256,096.40/384,205.26 = 87,618.56/x
  3. Step 3: Cross multiply
    256,096.40x = 384,205.26 × 87,618.56
  4. Step 4: Simplify right side
    256,096.40x = 33,663,511,625.63
  5. Step 5: Solve for x
    x = 33,663,511,625.63/256,096.40
  6. Step 6: Final answer
    x = 131,448.59

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1.5x scale

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.