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Finding the Fourth Proportional to 256,098.40, 384,208.26 and 87,620.56

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Solution

The fourth proportional to 256,098.40, 384,208.26 and 87,620.56 is: 131,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.40 : 384,208.26 = 87,620.56 : x
  2. Step 2: Convert to fraction form
    256,098.40/384,208.26 = 87,620.56/x
  3. Step 3: Cross multiply
    256,098.40x = 384,208.26 × 87,620.56
  4. Step 4: Simplify right side
    256,098.40x = 33,664,542,897.83
  5. Step 5: Solve for x
    x = 33,664,542,897.83/256,098.40
  6. Step 6: Final answer
    x = 131,451.59

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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.