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Finding the Fourth Proportional to 394,327.67, 544,172.43 and 213,039.50

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Solution

The fourth proportional to 394,327.67, 544,172.43 and 213,039.50 is: 293,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,327.67 : 544,172.43 = 213,039.50 : x
  2. Step 2: Convert to fraction form
    394,327.67/544,172.43 = 213,039.50/x
  3. Step 3: Cross multiply
    394,327.67x = 544,172.43 × 213,039.50
  4. Step 4: Simplify right side
    394,327.67x = 115,930,219,680.12
  5. Step 5: Solve for x
    x = 115,930,219,680.12/394,327.67
  6. Step 6: Final answer
    x = 293,994.64

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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.