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Finding the Fourth Proportional to 213,622.86, 294,910.84 and 199,487.82

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Solution

The fourth proportional to 213,622.86, 294,910.84 and 199,487.82 is: 275,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,622.86 : 294,910.84 = 199,487.82 : x
  2. Step 2: Convert to fraction form
    213,622.86/294,910.84 = 199,487.82/x
  3. Step 3: Cross multiply
    213,622.86x = 294,910.84 × 199,487.82
  4. Step 4: Simplify right side
    213,622.86x = 58,831,120,565.97
  5. Step 5: Solve for x
    x = 58,831,120,565.97/213,622.86
  6. Step 6: Final answer
    x = 275,397.12

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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.