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Finding the Fourth Proportional to 1,409,745.54, 1,945,443.99 and 765,165.70

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Solution

The fourth proportional to 1,409,745.54, 1,945,443.99 and 765,165.70 is: 1,055,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,745.54 : 1,945,443.99 = 765,165.70 : x
  2. Step 2: Convert to fraction form
    1,409,745.54/1,945,443.99 = 765,165.70/x
  3. Step 3: Cross multiply
    1,409,745.54x = 1,945,443.99 × 765,165.70
  4. Step 4: Simplify right side
    1,409,745.54x = 1,488,587,012,419.14
  5. Step 5: Solve for x
    x = 1,488,587,012,419.14/1,409,745.54
  6. Step 6: Final answer
    x = 1,055,926.03

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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.