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Finding the Fourth Proportional to 394,953.31, 545,033.10 and 213,664.51

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Solution

The fourth proportional to 394,953.31, 545,033.10 and 213,664.51 is: 294,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,953.31 : 545,033.10 = 213,664.51 : x
  2. Step 2: Convert to fraction form
    394,953.31/545,033.10 = 213,664.51/x
  3. Step 3: Cross multiply
    394,953.31x = 545,033.10 × 213,664.51
  4. Step 4: Simplify right side
    394,953.31x = 116,454,230,245.28
  5. Step 5: Solve for x
    x = 116,454,230,245.28/394,953.31
  6. Step 6: Final answer
    x = 294,855.69

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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.