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Finding the Fourth Proportional to 613,218.94, 919,976.51 and 192,494.82

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Solution

The fourth proportional to 613,218.94, 919,976.51 and 192,494.82 is: 288,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,218.94 : 919,976.51 = 192,494.82 : x
  2. Step 2: Convert to fraction form
    613,218.94/919,976.51 = 192,494.82/x
  3. Step 3: Cross multiply
    613,218.94x = 919,976.51 × 192,494.82
  4. Step 4: Simplify right side
    613,218.94x = 177,090,707,134.32
  5. Step 5: Solve for x
    x = 177,090,707,134.32/613,218.94
  6. Step 6: Final answer
    x = 288,788.71

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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.