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Finding the Fourth Proportional to 386,942.56, 580,200.72 and 207,238.59

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Solution

The fourth proportional to 386,942.56, 580,200.72 and 207,238.59 is: 310,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,942.56 : 580,200.72 = 207,238.59 : x
  2. Step 2: Convert to fraction form
    386,942.56/580,200.72 = 207,238.59/x
  3. Step 3: Cross multiply
    386,942.56x = 580,200.72 × 207,238.59
  4. Step 4: Simplify right side
    386,942.56x = 120,239,978,352.64
  5. Step 5: Solve for x
    x = 120,239,978,352.64/386,942.56
  6. Step 6: Final answer
    x = 310,743.74

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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.