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Finding the Fourth Proportional to 388,093.12, 582,213.68 and 135,445.77

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Solution

The fourth proportional to 388,093.12, 582,213.68 and 135,445.77 is: 203,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,093.12 : 582,213.68 = 135,445.77 : x
  2. Step 2: Convert to fraction form
    388,093.12/582,213.68 = 135,445.77/x
  3. Step 3: Cross multiply
    388,093.12x = 582,213.68 × 135,445.77
  4. Step 4: Simplify right side
    388,093.12x = 78,858,378,059.37
  5. Step 5: Solve for x
    x = 78,858,378,059.37/388,093.12
  6. Step 6: Final answer
    x = 203,194.48

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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.