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Finding the Fourth Proportional to 392,998.60, 589,622.45 and 140,273.49

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Solution

The fourth proportional to 392,998.60, 589,622.45 and 140,273.49 is: 210,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,998.60 : 589,622.45 = 140,273.49 : x
  2. Step 2: Convert to fraction form
    392,998.60/589,622.45 = 140,273.49/x
  3. Step 3: Cross multiply
    392,998.60x = 589,622.45 × 140,273.49
  4. Step 4: Simplify right side
    392,998.60x = 82,708,399,194.53
  5. Step 5: Solve for x
    x = 82,708,399,194.53/392,998.60
  6. Step 6: Final answer
    x = 210,454.69

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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.