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Finding the Fourth Proportional to 235,978.80, 353,449.80 and 204,874.80

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Solution

The fourth proportional to 235,978.80, 353,449.80 and 204,874.80 is: 306,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,978.80 : 353,449.80 = 204,874.80 : x
  2. Step 2: Convert to fraction form
    235,978.80/353,449.80 = 204,874.80/x
  3. Step 3: Cross multiply
    235,978.80x = 353,449.80 × 204,874.80
  4. Step 4: Simplify right side
    235,978.80x = 72,412,957,085.04
  5. Step 5: Solve for x
    x = 72,412,957,085.04/235,978.80
  6. Step 6: Final answer
    x = 306,862.13

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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.