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Finding the Fourth Proportional to 510,791.92, 704,976.94 and 389,704.42

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Solution

The fourth proportional to 510,791.92, 704,976.94 and 389,704.42 is: 537,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,791.92 : 704,976.94 = 389,704.42 : x
  2. Step 2: Convert to fraction form
    510,791.92/704,976.94 = 389,704.42/x
  3. Step 3: Cross multiply
    510,791.92x = 704,976.94 × 389,704.42
  4. Step 4: Simplify right side
    510,791.92x = 274,732,628,014.98
  5. Step 5: Solve for x
    x = 274,732,628,014.98/510,791.92
  6. Step 6: Final answer
    x = 537,856.25

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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.