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Finding the Fourth Proportional to 1,378,704.39, 1,902,584.75 and 766,844.01

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Solution

The fourth proportional to 1,378,704.39, 1,902,584.75 and 766,844.01 is: 1,058,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,704.39 : 1,902,584.75 = 766,844.01 : x
  2. Step 2: Convert to fraction form
    1,378,704.39/1,902,584.75 = 766,844.01/x
  3. Step 3: Cross multiply
    1,378,704.39x = 1,902,584.75 × 766,844.01
  4. Step 4: Simplify right side
    1,378,704.39x = 1,458,985,719,534.13
  5. Step 5: Solve for x
    x = 1,458,985,719,534.13/1,378,704.39
  6. Step 6: Final answer
    x = 1,058,229.54

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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.