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Finding the Fourth Proportional to 263,148.61, 394,849.29 and 206,636.53

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Solution

The fourth proportional to 263,148.61, 394,849.29 and 206,636.53 is: 310,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,148.61 : 394,849.29 = 206,636.53 : x
  2. Step 2: Convert to fraction form
    263,148.61/394,849.29 = 206,636.53/x
  3. Step 3: Cross multiply
    263,148.61x = 394,849.29 × 206,636.53
  4. Step 4: Simplify right side
    263,148.61x = 81,590,287,158.56
  5. Step 5: Solve for x
    x = 81,590,287,158.56/263,148.61
  6. Step 6: Final answer
    x = 310,054.03

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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.