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Finding the Fourth Proportional to 589,912.28, 813,978.33 and 331,722.35

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Solution

The fourth proportional to 589,912.28, 813,978.33 and 331,722.35 is: 457,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,912.28 : 813,978.33 = 331,722.35 : x
  2. Step 2: Convert to fraction form
    589,912.28/813,978.33 = 331,722.35/x
  3. Step 3: Cross multiply
    589,912.28x = 813,978.33 × 331,722.35
  4. Step 4: Simplify right side
    589,912.28x = 270,014,800,406.78
  5. Step 5: Solve for x
    x = 270,014,800,406.78/589,912.28
  6. Step 6: Final answer
    x = 457,720.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.