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Finding the Fourth Proportional to 511,556.49, 767,025.66 and 203,855.80

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Solution

The fourth proportional to 511,556.49, 767,025.66 and 203,855.80 is: 305,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,556.49 : 767,025.66 = 203,855.80 : x
  2. Step 2: Convert to fraction form
    511,556.49/767,025.66 = 203,855.80/x
  3. Step 3: Cross multiply
    511,556.49x = 767,025.66 × 203,855.80
  4. Step 4: Simplify right side
    511,556.49x = 156,362,629,539.83
  5. Step 5: Solve for x
    x = 156,362,629,539.83/511,556.49
  6. Step 6: Final answer
    x = 305,660.53

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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.