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Finding the Fourth Proportional to 394,822.94, 544,855.64 and 213,534.86

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Solution

The fourth proportional to 394,822.94, 544,855.64 and 213,534.86 is: 294,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,822.94 : 544,855.64 = 213,534.86 : x
  2. Step 2: Convert to fraction form
    394,822.94/544,855.64 = 213,534.86/x
  3. Step 3: Cross multiply
    394,822.94x = 544,855.64 × 213,534.86
  4. Step 4: Simplify right side
    394,822.94x = 116,345,669,015.66
  5. Step 5: Solve for x
    x = 116,345,669,015.66/394,822.94
  6. Step 6: Final answer
    x = 294,678.09

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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.