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Finding the Fourth Proportional to 505,481.86, 758,208.12 and 205,888.36

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Solution

The fourth proportional to 505,481.86, 758,208.12 and 205,888.36 is: 308,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,481.86 : 758,208.12 = 205,888.36 : x
  2. Step 2: Convert to fraction form
    505,481.86/758,208.12 = 205,888.36/x
  3. Step 3: Cross multiply
    505,481.86x = 758,208.12 × 205,888.36
  4. Step 4: Simplify right side
    505,481.86x = 156,106,226,365.48
  5. Step 5: Solve for x
    x = 156,106,226,365.48/505,481.86
  6. Step 6: Final answer
    x = 308,826.56

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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.