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Finding the Fourth Proportional to 523,827, 722,847.24 and 308,917.80

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Solution

The fourth proportional to 523,827, 722,847.24 and 308,917.80 is: 426,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,827 : 722,847.24 = 308,917.80 : x
  2. Step 2: Convert to fraction form
    523,827/722,847.24 = 308,917.80/x
  3. Step 3: Cross multiply
    523,827x = 722,847.24 × 308,917.80
  4. Step 4: Simplify right side
    523,827x = 223,300,379,116.87
  5. Step 5: Solve for x
    x = 223,300,379,116.87/523,827
  6. Step 6: Final answer
    x = 426,286.50

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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.