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Finding the Fourth Proportional to 509,344.39, 764,015.77 and 135,367.39

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Solution

The fourth proportional to 509,344.39, 764,015.77 and 135,367.39 is: 203,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,344.39 : 764,015.77 = 135,367.39 : x
  2. Step 2: Convert to fraction form
    509,344.39/764,015.77 = 135,367.39/x
  3. Step 3: Cross multiply
    509,344.39x = 764,015.77 × 135,367.39
  4. Step 4: Simplify right side
    509,344.39x = 103,422,820,703.74
  5. Step 5: Solve for x
    x = 103,422,820,703.74/509,344.39
  6. Step 6: Final answer
    x = 203,050.87

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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.