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Finding the Fourth Proportional to 1,409,464.89, 1,945,075.82 and 764,890.65

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Solution

The fourth proportional to 1,409,464.89, 1,945,075.82 and 764,890.65 is: 1,055,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,464.89 : 1,945,075.82 = 764,890.65 : x
  2. Step 2: Convert to fraction form
    1,409,464.89/1,945,075.82 = 764,890.65/x
  3. Step 3: Cross multiply
    1,409,464.89x = 1,945,075.82 × 764,890.65
  4. Step 4: Simplify right side
    1,409,464.89x = 1,487,770,304,434.63
  5. Step 5: Solve for x
    x = 1,487,770,304,434.63/1,409,464.89
  6. Step 6: Final answer
    x = 1,055,556.84

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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.