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Finding the Fourth Proportional to 394,345.89, 544,197.56 and 213,057.77

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Solution

The fourth proportional to 394,345.89, 544,197.56 and 213,057.77 is: 294,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,345.89 : 544,197.56 = 213,057.77 : x
  2. Step 2: Convert to fraction form
    394,345.89/544,197.56 = 213,057.77/x
  3. Step 3: Cross multiply
    394,345.89x = 544,197.56 × 213,057.77
  4. Step 4: Simplify right side
    394,345.89x = 115,945,514,786.77
  5. Step 5: Solve for x
    x = 115,945,514,786.77/394,345.89
  6. Step 6: Final answer
    x = 294,019.84

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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.