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Finding the Fourth Proportional to 523,815, 722,830.68 and 308,905.80

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Solution

The fourth proportional to 523,815, 722,830.68 and 308,905.80 is: 426,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,815 : 722,830.68 = 308,905.80 : x
  2. Step 2: Convert to fraction form
    523,815/722,830.68 = 308,905.80/x
  3. Step 3: Cross multiply
    523,815x = 722,830.68 × 308,905.80
  4. Step 4: Simplify right side
    523,815x = 223,286,589,469.94
  5. Step 5: Solve for x
    x = 223,286,589,469.94/523,815
  6. Step 6: Final answer
    x = 426,269.94

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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.