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Finding the Fourth Proportional to 509,698.53, 764,639.97 and 210,012.39

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Solution

The fourth proportional to 509,698.53, 764,639.97 and 210,012.39 is: 315,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,698.53 : 764,639.97 = 210,012.39 : x
  2. Step 2: Convert to fraction form
    509,698.53/764,639.97 = 210,012.39/x
  3. Step 3: Cross multiply
    509,698.53x = 764,639.97 × 210,012.39
  4. Step 4: Simplify right side
    509,698.53x = 160,583,867,589.23
  5. Step 5: Solve for x
    x = 160,583,867,589.23/509,698.53
  6. Step 6: Final answer
    x = 315,056.56

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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.