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Finding the Fourth Proportional to 505,262.43, 757,235.48 and 205,392.74

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Solution

The fourth proportional to 505,262.43, 757,235.48 and 205,392.74 is: 307,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,262.43 : 757,235.48 = 205,392.74 : x
  2. Step 2: Convert to fraction form
    505,262.43/757,235.48 = 205,392.74/x
  3. Step 3: Cross multiply
    505,262.43x = 757,235.48 × 205,392.74
  4. Step 4: Simplify right side
    505,262.43x = 155,530,665,249.27
  5. Step 5: Solve for x
    x = 155,530,665,249.27/505,262.43
  6. Step 6: Final answer
    x = 307,821.55

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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.