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Finding the Fourth Proportional to 363,085.20, 544,627.80 and 205,621.20

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Solution

The fourth proportional to 363,085.20, 544,627.80 and 205,621.20 is: 308,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,085.20 : 544,627.80 = 205,621.20 : x
  2. Step 2: Convert to fraction form
    363,085.20/544,627.80 = 205,621.20/x
  3. Step 3: Cross multiply
    363,085.20x = 544,627.80 × 205,621.20
  4. Step 4: Simplify right side
    363,085.20x = 111,987,021,789.36
  5. Step 5: Solve for x
    x = 111,987,021,789.36/363,085.20
  6. Step 6: Final answer
    x = 308,431.80

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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.