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Finding the Fourth Proportional to 1,409,679.78, 1,945,376.74 and 765,107.70

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Solution

The fourth proportional to 1,409,679.78, 1,945,376.74 and 765,107.70 is: 1,055,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,679.78 : 1,945,376.74 = 765,107.70 : x
  2. Step 2: Convert to fraction form
    1,409,679.78/1,945,376.74 = 765,107.70/x
  3. Step 3: Cross multiply
    1,409,679.78x = 1,945,376.74 × 765,107.70
  4. Step 4: Simplify right side
    1,409,679.78x = 1,488,422,723,174.90
  5. Step 5: Solve for x
    x = 1,488,422,723,174.90/1,409,679.78
  6. Step 6: Final answer
    x = 1,055,858.74

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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.