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Finding the Fourth Proportional to 1,409,448.25, 1,945,039.83 and 764,868.44

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Solution

The fourth proportional to 1,409,448.25, 1,945,039.83 and 764,868.44 is: 1,055,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,448.25 : 1,945,039.83 = 764,868.44 : x
  2. Step 2: Convert to fraction form
    1,409,448.25/1,945,039.83 = 764,868.44/x
  3. Step 3: Cross multiply
    1,409,448.25x = 1,945,039.83 × 764,868.44
  4. Step 4: Simplify right side
    1,409,448.25x = 1,487,699,580,509.97
  5. Step 5: Solve for x
    x = 1,487,699,580,509.97/1,409,448.25
  6. Step 6: Final answer
    x = 1,055,519.12

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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.