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Finding the Fourth Proportional to 392,289.86, 587,873.39 and 223,461.56

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Solution

The fourth proportional to 392,289.86, 587,873.39 and 223,461.56 is: 334,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,289.86 : 587,873.39 = 223,461.56 : x
  2. Step 2: Convert to fraction form
    392,289.86/587,873.39 = 223,461.56/x
  3. Step 3: Cross multiply
    392,289.86x = 587,873.39 × 223,461.56
  4. Step 4: Simplify right side
    392,289.86x = 131,367,100,755.21
  5. Step 5: Solve for x
    x = 131,367,100,755.21/392,289.86
  6. Step 6: Final answer
    x = 334,872.54

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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.