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Finding the Fourth Proportional to 394,159.63, 543,904.61 and 222,105.61

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Solution

The fourth proportional to 394,159.63, 543,904.61 and 222,105.61 is: 306,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,159.63 : 543,904.61 = 222,105.61 : x
  2. Step 2: Convert to fraction form
    394,159.63/543,904.61 = 222,105.61/x
  3. Step 3: Cross multiply
    394,159.63x = 543,904.61 × 222,105.61
  4. Step 4: Simplify right side
    394,159.63x = 120,804,261,695.75
  5. Step 5: Solve for x
    x = 120,804,261,695.75/394,159.63
  6. Step 6: Final answer
    x = 306,485.63

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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.