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Finding the Fourth Proportional to 392,917.20, 589,375.80 and 257,614.80

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Solution

The fourth proportional to 392,917.20, 589,375.80 and 257,614.80 is: 386,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,917.20 : 589,375.80 = 257,614.80 : x
  2. Step 2: Convert to fraction form
    392,917.20/589,375.80 = 257,614.80/x
  3. Step 3: Cross multiply
    392,917.20x = 589,375.80 × 257,614.80
  4. Step 4: Simplify right side
    392,917.20x = 151,831,928,841.84
  5. Step 5: Solve for x
    x = 151,831,928,841.84/392,917.20
  6. Step 6: Final answer
    x = 386,422.20

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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.