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Finding the Fourth Proportional to 380,993.36, 571,832.66 and 203,651.96

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Solution

The fourth proportional to 380,993.36, 571,832.66 and 203,651.96 is: 305,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,993.36 : 571,832.66 = 203,651.96 : x
  2. Step 2: Convert to fraction form
    380,993.36/571,832.66 = 203,651.96/x
  3. Step 3: Cross multiply
    380,993.36x = 571,832.66 × 203,651.96
  4. Step 4: Simplify right side
    380,993.36x = 116,454,839,650.98
  5. Step 5: Solve for x
    x = 116,454,839,650.98/380,993.36
  6. Step 6: Final answer
    x = 305,661.08

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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.