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Finding the Fourth Proportional to 215,739.20, 323,685.60 and 208,059.20

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Solution

The fourth proportional to 215,739.20, 323,685.60 and 208,059.20 is: 312,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,739.20 : 323,685.60 = 208,059.20 : x
  2. Step 2: Convert to fraction form
    215,739.20/323,685.60 = 208,059.20/x
  3. Step 3: Cross multiply
    215,739.20x = 323,685.60 × 208,059.20
  4. Step 4: Simplify right side
    215,739.20x = 67,345,766,987.52
  5. Step 5: Solve for x
    x = 67,345,766,987.52/215,739.20
  6. Step 6: Final answer
    x = 312,162.87

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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.