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Finding the Fourth Proportional to 394,340.40, 591,656.40 and 128,109.60

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Solution

The fourth proportional to 394,340.40, 591,656.40 and 128,109.60 is: 192,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,340.40 : 591,656.40 = 128,109.60 : x
  2. Step 2: Convert to fraction form
    394,340.40/591,656.40 = 128,109.60/x
  3. Step 3: Cross multiply
    394,340.40x = 591,656.40 × 128,109.60
  4. Step 4: Simplify right side
    394,340.40x = 75,796,864,741.44
  5. Step 5: Solve for x
    x = 75,796,864,741.44/394,340.40
  6. Step 6: Final answer
    x = 192,211.77

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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.