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Finding the Fourth Proportional to 509,353.52, 764,029.46 and 135,376.52

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Solution

The fourth proportional to 509,353.52, 764,029.46 and 135,376.52 is: 203,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,353.52 : 764,029.46 = 135,376.52 : x
  2. Step 2: Convert to fraction form
    509,353.52/764,029.46 = 135,376.52/x
  3. Step 3: Cross multiply
    509,353.52x = 764,029.46 × 135,376.52
  4. Step 4: Simplify right side
    509,353.52x = 103,431,645,990.57
  5. Step 5: Solve for x
    x = 103,431,645,990.57/509,353.52
  6. Step 6: Final answer
    x = 203,064.56

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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.