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Finding the Fourth Proportional to 394,259.60, 591,324.69 and 109,969.49

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Solution

The fourth proportional to 394,259.60, 591,324.69 and 109,969.49 is: 164,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,259.60 : 591,324.69 = 109,969.49 : x
  2. Step 2: Convert to fraction form
    394,259.60/591,324.69 = 109,969.49/x
  3. Step 3: Cross multiply
    394,259.60x = 591,324.69 × 109,969.49
  4. Step 4: Simplify right side
    394,259.60x = 65,027,674,583.71
  5. Step 5: Solve for x
    x = 65,027,674,583.71/394,259.60
  6. Step 6: Final answer
    x = 164,936.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.