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Finding the Fourth Proportional to 256,395.86, 384,630.24 and 78,917.66

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Solution

The fourth proportional to 256,395.86, 384,630.24 and 78,917.66 is: 118,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.86 : 384,630.24 = 78,917.66 : x
  2. Step 2: Convert to fraction form
    256,395.86/384,630.24 = 78,917.66/x
  3. Step 3: Cross multiply
    256,395.86x = 384,630.24 × 78,917.66
  4. Step 4: Simplify right side
    256,395.86x = 30,354,118,506.04
  5. Step 5: Solve for x
    x = 30,354,118,506.04/256,395.86
  6. Step 6: Final answer
    x = 118,387.71

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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.