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Finding the Fourth Proportional to 256,396.06, 384,630.53 and 78,917.86

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Solution

The fourth proportional to 256,396.06, 384,630.53 and 78,917.86 is: 118,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,396.06 : 384,630.53 = 78,917.86 : x
  2. Step 2: Convert to fraction form
    256,396.06/384,630.53 = 78,917.86/x
  3. Step 3: Cross multiply
    256,396.06x = 384,630.53 × 78,917.86
  4. Step 4: Simplify right side
    256,396.06x = 30,354,218,318.27
  5. Step 5: Solve for x
    x = 30,354,218,318.27/256,396.06
  6. Step 6: Final answer
    x = 118,388.01

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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.