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Finding the Fourth Proportional to 505,493.10, 758,028.86 and 205,770.23

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Solution

The fourth proportional to 505,493.10, 758,028.86 and 205,770.23 is: 308,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,493.10 : 758,028.86 = 205,770.23 : x
  2. Step 2: Convert to fraction form
    505,493.10/758,028.86 = 205,770.23/x
  3. Step 3: Cross multiply
    505,493.10x = 758,028.86 × 205,770.23
  4. Step 4: Simplify right side
    505,493.10x = 155,979,768,049.84
  5. Step 5: Solve for x
    x = 155,979,768,049.84/505,493.10
  6. Step 6: Final answer
    x = 308,569.53

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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.