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Finding the Fourth Proportional to 393,309, 589,965.12 and 143,991

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Solution

The fourth proportional to 393,309, 589,965.12 and 143,991 is: 215,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,309 : 589,965.12 = 143,991 : x
  2. Step 2: Convert to fraction form
    393,309/589,965.12 = 143,991/x
  3. Step 3: Cross multiply
    393,309x = 589,965.12 × 143,991
  4. Step 4: Simplify right side
    393,309x = 84,949,667,593.92
  5. Step 5: Solve for x
    x = 84,949,667,593.92/393,309
  6. Step 6: Final answer
    x = 215,987.09

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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.