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Finding the Fourth Proportional to 513,511.91, 770,337.92 and 213,922.38

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Solution

The fourth proportional to 513,511.91, 770,337.92 and 213,922.38 is: 320,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,511.91 : 770,337.92 = 213,922.38 : x
  2. Step 2: Convert to fraction form
    513,511.91/770,337.92 = 213,922.38/x
  3. Step 3: Cross multiply
    513,511.91x = 770,337.92 × 213,922.38
  4. Step 4: Simplify right side
    513,511.91x = 164,792,520,181.04
  5. Step 5: Solve for x
    x = 164,792,520,181.04/513,511.91
  6. Step 6: Final answer
    x = 320,912.76

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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.