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Finding the Fourth Proportional to 394,945.93, 545,023.74 and 213,657.44

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Solution

The fourth proportional to 394,945.93, 545,023.74 and 213,657.44 is: 294,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,945.93 : 545,023.74 = 213,657.44 : x
  2. Step 2: Convert to fraction form
    394,945.93/545,023.74 = 213,657.44/x
  3. Step 3: Cross multiply
    394,945.93x = 545,023.74 × 213,657.44
  4. Step 4: Simplify right side
    394,945.93x = 116,448,374,302.51
  5. Step 5: Solve for x
    x = 116,448,374,302.51/394,945.93
  6. Step 6: Final answer
    x = 294,846.37

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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.