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Finding the Fourth Proportional to 392,738.40, 589,107.60 and 193,089.60

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Solution

The fourth proportional to 392,738.40, 589,107.60 and 193,089.60 is: 289,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,738.40 : 589,107.60 = 193,089.60 : x
  2. Step 2: Convert to fraction form
    392,738.40/589,107.60 = 193,089.60/x
  3. Step 3: Cross multiply
    392,738.40x = 589,107.60 × 193,089.60
  4. Step 4: Simplify right side
    392,738.40x = 113,750,550,840.96
  5. Step 5: Solve for x
    x = 113,750,550,840.96/392,738.40
  6. Step 6: Final answer
    x = 289,634.40

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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.