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Finding the Fourth Proportional to 392,614.10, 589,039.39 and 139,861.60

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Solution

The fourth proportional to 392,614.10, 589,039.39 and 139,861.60 is: 209,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,614.10 : 589,039.39 = 139,861.60 : x
  2. Step 2: Convert to fraction form
    392,614.10/589,039.39 = 139,861.60/x
  3. Step 3: Cross multiply
    392,614.10x = 589,039.39 × 139,861.60
  4. Step 4: Simplify right side
    392,614.10x = 82,383,993,564.00
  5. Step 5: Solve for x
    x = 82,383,993,564.00/392,614.10
  6. Step 6: Final answer
    x = 209,834.52

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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.