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Finding the Fourth Proportional to 505,493.29, 758,029.13 and 205,770.41

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Solution

The fourth proportional to 505,493.29, 758,029.13 and 205,770.41 is: 308,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,493.29 : 758,029.13 = 205,770.41 : x
  2. Step 2: Convert to fraction form
    505,493.29/758,029.13 = 205,770.41/x
  3. Step 3: Cross multiply
    505,493.29x = 758,029.13 × 205,770.41
  4. Step 4: Simplify right side
    505,493.29x = 155,979,964,824.75
  5. Step 5: Solve for x
    x = 155,979,964,824.75/505,493.29
  6. Step 6: Final answer
    x = 308,569.80

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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.