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Finding the Fourth Proportional to 509,359.89, 764,039.01 and 135,382.89

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Solution

The fourth proportional to 509,359.89, 764,039.01 and 135,382.89 is: 203,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,359.89 : 764,039.01 = 135,382.89 : x
  2. Step 2: Convert to fraction form
    509,359.89/764,039.01 = 135,382.89/x
  3. Step 3: Cross multiply
    509,359.89x = 764,039.01 × 135,382.89
  4. Step 4: Simplify right side
    509,359.89x = 103,437,809,246.54
  5. Step 5: Solve for x
    x = 103,437,809,246.54/509,359.89
  6. Step 6: Final answer
    x = 203,074.12

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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.