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Finding the Fourth Proportional to 394,513.40, 591,551.40 and 169,835.60

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Solution

The fourth proportional to 394,513.40, 591,551.40 and 169,835.60 is: 254,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,513.40 : 591,551.40 = 169,835.60 : x
  2. Step 2: Convert to fraction form
    394,513.40/591,551.40 = 169,835.60/x
  3. Step 3: Cross multiply
    394,513.40x = 591,551.40 × 169,835.60
  4. Step 4: Simplify right side
    394,513.40x = 100,466,486,949.84
  5. Step 5: Solve for x
    x = 100,466,486,949.84/394,513.40
  6. Step 6: Final answer
    x = 254,659.25

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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.