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Finding the Fourth Proportional to 1,435,399.07, 1,981,137.54 and 823,965.17

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Solution

The fourth proportional to 1,435,399.07, 1,981,137.54 and 823,965.17 is: 1,137,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,399.07 : 1,981,137.54 = 823,965.17 : x
  2. Step 2: Convert to fraction form
    1,435,399.07/1,981,137.54 = 823,965.17/x
  3. Step 3: Cross multiply
    1,435,399.07x = 1,981,137.54 × 823,965.17
  4. Step 4: Simplify right side
    1,435,399.07x = 1,632,388,320,033.79
  5. Step 5: Solve for x
    x = 1,632,388,320,033.79/1,435,399.07
  6. Step 6: Final answer
    x = 1,137,236.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.