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Finding the Fourth Proportional to 285,390.47, 394,103.58 and 213,645.93

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Solution

The fourth proportional to 285,390.47, 394,103.58 and 213,645.93 is: 295,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,390.47 : 394,103.58 = 213,645.93 : x
  2. Step 2: Convert to fraction form
    285,390.47/394,103.58 = 213,645.93/x
  3. Step 3: Cross multiply
    285,390.47x = 394,103.58 × 213,645.93
  4. Step 4: Simplify right side
    285,390.47x = 84,198,625,865.43
  5. Step 5: Solve for x
    x = 84,198,625,865.43/285,390.47
  6. Step 6: Final answer
    x = 295,029.56

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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.