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Finding the Fourth Proportional to 256,339.60, 384,538.20 and 78,845.20

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Solution

The fourth proportional to 256,339.60, 384,538.20 and 78,845.20 is: 118,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,339.60 : 384,538.20 = 78,845.20 : x
  2. Step 2: Convert to fraction form
    256,339.60/384,538.20 = 78,845.20/x
  3. Step 3: Cross multiply
    256,339.60x = 384,538.20 × 78,845.20
  4. Step 4: Simplify right side
    256,339.60x = 30,318,991,286.64
  5. Step 5: Solve for x
    x = 30,318,991,286.64/256,339.60
  6. Step 6: Final answer
    x = 118,276.66

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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.