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Finding the Fourth Proportional to 256,118.82, 384,223.32 and 87,599.58

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Solution

The fourth proportional to 256,118.82, 384,223.32 and 87,599.58 is: 131,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,118.82 : 384,223.32 = 87,599.58 : x
  2. Step 2: Convert to fraction form
    256,118.82/384,223.32 = 87,599.58/x
  3. Step 3: Cross multiply
    256,118.82x = 384,223.32 × 87,599.58
  4. Step 4: Simplify right side
    256,118.82x = 33,657,801,458.21
  5. Step 5: Solve for x
    x = 33,657,801,458.21/256,118.82
  6. Step 6: Final answer
    x = 131,414.79

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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.