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Finding the Fourth Proportional to 515,212.48, 710,993.46 and 285,761.80

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Solution

The fourth proportional to 515,212.48, 710,993.46 and 285,761.80 is: 394,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,212.48 : 710,993.46 = 285,761.80 : x
  2. Step 2: Convert to fraction form
    515,212.48/710,993.46 = 285,761.80/x
  3. Step 3: Cross multiply
    515,212.48x = 710,993.46 × 285,761.80
  4. Step 4: Simplify right side
    515,212.48x = 203,174,770,917.83
  5. Step 5: Solve for x
    x = 203,174,770,917.83/515,212.48
  6. Step 6: Final answer
    x = 394,351.42

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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.