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Finding the Fourth Proportional to 235,891.20, 353,145.60 and 208,243.20

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Solution

The fourth proportional to 235,891.20, 353,145.60 and 208,243.20 is: 311,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,891.20 : 353,145.60 = 208,243.20 : x
  2. Step 2: Convert to fraction form
    235,891.20/353,145.60 = 208,243.20/x
  3. Step 3: Cross multiply
    235,891.20x = 353,145.60 × 208,243.20
  4. Step 4: Simplify right side
    235,891.20x = 73,540,169,809.92
  5. Step 5: Solve for x
    x = 73,540,169,809.92/235,891.20
  6. Step 6: Final answer
    x = 311,754.61

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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.