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Finding the Fourth Proportional to 509,679.48, 764,611.49 and 209,993.52

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Solution

The fourth proportional to 509,679.48, 764,611.49 and 209,993.52 is: 315,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,679.48 : 764,611.49 = 209,993.52 : x
  2. Step 2: Convert to fraction form
    509,679.48/764,611.49 = 209,993.52/x
  3. Step 3: Cross multiply
    509,679.48x = 764,611.49 × 209,993.52
  4. Step 4: Simplify right side
    509,679.48x = 160,563,458,217.55
  5. Step 5: Solve for x
    x = 160,563,458,217.55/509,679.48
  6. Step 6: Final answer
    x = 315,028.30

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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.