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Finding the Fourth Proportional to 286,369.86, 395,233.48 and 206,063.22

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Solution

The fourth proportional to 286,369.86, 395,233.48 and 206,063.22 is: 284,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,369.86 : 395,233.48 = 206,063.22 : x
  2. Step 2: Convert to fraction form
    286,369.86/395,233.48 = 206,063.22/x
  3. Step 3: Cross multiply
    286,369.86x = 395,233.48 × 206,063.22
  4. Step 4: Simplify right side
    286,369.86x = 81,443,083,540.61
  5. Step 5: Solve for x
    x = 81,443,083,540.61/286,369.86
  6. Step 6: Final answer
    x = 284,398.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.