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Finding the Fourth Proportional to 770,800, 1,063,704 and 431,333.86

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Solution

The fourth proportional to 770,800, 1,063,704 and 431,333.86 is: 595,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,800 : 1,063,704 = 431,333.86 : x
  2. Step 2: Convert to fraction form
    770,800/1,063,704 = 431,333.86/x
  3. Step 3: Cross multiply
    770,800x = 1,063,704 × 431,333.86
  4. Step 4: Simplify right side
    770,800x = 458,811,552,217.44
  5. Step 5: Solve for x
    x = 458,811,552,217.44/770,800
  6. Step 6: Final answer
    x = 595,240.73

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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.