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Finding the Fourth Proportional to 509,609.42, 764,431.50 and 135,632.78

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Solution

The fourth proportional to 509,609.42, 764,431.50 and 135,632.78 is: 203,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,609.42 : 764,431.50 = 135,632.78 : x
  2. Step 2: Convert to fraction form
    509,609.42/764,431.50 = 135,632.78/x
  3. Step 3: Cross multiply
    509,609.42x = 764,431.50 × 135,632.78
  4. Step 4: Simplify right side
    509,609.42x = 103,681,969,464.57
  5. Step 5: Solve for x
    x = 103,681,969,464.57/509,609.42
  6. Step 6: Final answer
    x = 203,453.79

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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.