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Finding the Fourth Proportional to 1,409,716.73, 1,945,410.80 and 765,137.09

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Solution

The fourth proportional to 1,409,716.73, 1,945,410.80 and 765,137.09 is: 1,055,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,716.73 : 1,945,410.80 = 765,137.09 : x
  2. Step 2: Convert to fraction form
    1,409,716.73/1,945,410.80 = 765,137.09/x
  3. Step 3: Cross multiply
    1,409,716.73x = 1,945,410.80 × 765,137.09
  4. Step 4: Simplify right side
    1,409,716.73x = 1,488,505,944,813.83
  5. Step 5: Solve for x
    x = 1,488,505,944,813.83/1,409,716.73
  6. Step 6: Final answer
    x = 1,055,890.11

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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.