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Finding the Fourth Proportional to 551,781.09, 827,252.15 and 285,371.82

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Solution

The fourth proportional to 551,781.09, 827,252.15 and 285,371.82 is: 427,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,781.09 : 827,252.15 = 285,371.82 : x
  2. Step 2: Convert to fraction form
    551,781.09/827,252.15 = 285,371.82/x
  3. Step 3: Cross multiply
    551,781.09x = 827,252.15 × 285,371.82
  4. Step 4: Simplify right side
    551,781.09x = 236,074,450,217.55
  5. Step 5: Solve for x
    x = 236,074,450,217.55/551,781.09
  6. Step 6: Final answer
    x = 427,840.78

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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.