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Finding the Fourth Proportional to 394,797.51, 544,822.19 and 213,509.44

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Solution

The fourth proportional to 394,797.51, 544,822.19 and 213,509.44 is: 294,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,797.51 : 544,822.19 = 213,509.44 : x
  2. Step 2: Convert to fraction form
    394,797.51/544,822.19 = 213,509.44/x
  3. Step 3: Cross multiply
    394,797.51x = 544,822.19 × 213,509.44
  4. Step 4: Simplify right side
    394,797.51x = 116,324,679,236.98
  5. Step 5: Solve for x
    x = 116,324,679,236.98/394,797.51
  6. Step 6: Final answer
    x = 294,643.90

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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.