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Finding the Fourth Proportional to 392,321.76, 587,739.87 and 231,917.46

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Solution

The fourth proportional to 392,321.76, 587,739.87 and 231,917.46 is: 347,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,321.76 : 587,739.87 = 231,917.46 : x
  2. Step 2: Convert to fraction form
    392,321.76/587,739.87 = 231,917.46/x
  3. Step 3: Cross multiply
    392,321.76x = 587,739.87 × 231,917.46
  4. Step 4: Simplify right side
    392,321.76x = 136,307,137,791.13
  5. Step 5: Solve for x
    x = 136,307,137,791.13/392,321.76
  6. Step 6: Final answer
    x = 347,437.11

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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.