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Finding the Fourth Proportional to 394,948.31, 545,027.01 and 213,659.81

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Solution

The fourth proportional to 394,948.31, 545,027.01 and 213,659.81 is: 294,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,948.31 : 545,027.01 = 213,659.81 : x
  2. Step 2: Convert to fraction form
    394,948.31/545,027.01 = 213,659.81/x
  3. Step 3: Cross multiply
    394,948.31x = 545,027.01 × 213,659.81
  4. Step 4: Simplify right side
    394,948.31x = 116,450,367,401.47
  5. Step 5: Solve for x
    x = 116,450,367,401.47/394,948.31
  6. Step 6: Final answer
    x = 294,849.64

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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.