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Finding the Fourth Proportional to 509,749.62, 764,716.37 and 210,063.39

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Solution

The fourth proportional to 509,749.62, 764,716.37 and 210,063.39 is: 315,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,749.62 : 764,716.37 = 210,063.39 : x
  2. Step 2: Convert to fraction form
    509,749.62/764,716.37 = 210,063.39/x
  3. Step 3: Cross multiply
    509,749.62x = 764,716.37 × 210,063.39
  4. Step 4: Simplify right side
    509,749.62x = 160,638,912,020.38
  5. Step 5: Solve for x
    x = 160,638,912,020.38/509,749.62
  6. Step 6: Final answer
    x = 315,132.97

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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.