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Finding the Fourth Proportional to 513,486.06, 770,299.15 and 213,896.57

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Solution

The fourth proportional to 513,486.06, 770,299.15 and 213,896.57 is: 320,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,486.06 : 770,299.15 = 213,896.57 : x
  2. Step 2: Convert to fraction form
    513,486.06/770,299.15 = 213,896.57/x
  3. Step 3: Cross multiply
    513,486.06x = 770,299.15 × 213,896.57
  4. Step 4: Simplify right side
    513,486.06x = 164,764,347,449.92
  5. Step 5: Solve for x
    x = 164,764,347,449.92/513,486.06
  6. Step 6: Final answer
    x = 320,874.04

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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.