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Finding the Fourth Proportional to 256,190.58, 384,451.92 and 115,950.42

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Solution

The fourth proportional to 256,190.58, 384,451.92 and 115,950.42 is: 174,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,190.58 : 384,451.92 = 115,950.42 : x
  2. Step 2: Convert to fraction form
    256,190.58/384,451.92 = 115,950.42/x
  3. Step 3: Cross multiply
    256,190.58x = 384,451.92 × 115,950.42
  4. Step 4: Simplify right side
    256,190.58x = 44,577,361,593.81
  5. Step 5: Solve for x
    x = 44,577,361,593.81/256,190.58
  6. Step 6: Final answer
    x = 174,000.78

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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.