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Finding the Fourth Proportional to 394,933.74, 545,006.93 and 213,645.24

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Solution

The fourth proportional to 394,933.74, 545,006.93 and 213,645.24 is: 294,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,933.74 : 545,006.93 = 213,645.24 : x
  2. Step 2: Convert to fraction form
    394,933.74/545,006.93 = 213,645.24/x
  3. Step 3: Cross multiply
    394,933.74x = 545,006.93 × 213,645.24
  4. Step 4: Simplify right side
    394,933.74x = 116,438,135,293.29
  5. Step 5: Solve for x
    x = 116,438,135,293.29/394,933.74
  6. Step 6: Final answer
    x = 294,829.55

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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.