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Finding the Fourth Proportional to 1,397,507.82, 1,928,629.20 and 785,853.12

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Solution

The fourth proportional to 1,397,507.82, 1,928,629.20 and 785,853.12 is: 1,084,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,507.82 : 1,928,629.20 = 785,853.12 : x
  2. Step 2: Convert to fraction form
    1,397,507.82/1,928,629.20 = 785,853.12/x
  3. Step 3: Cross multiply
    1,397,507.82x = 1,928,629.20 × 785,853.12
  4. Step 4: Simplify right side
    1,397,507.82x = 1,515,619,274,143.10
  5. Step 5: Solve for x
    x = 1,515,619,274,143.10/1,397,507.82
  6. Step 6: Final answer
    x = 1,084,515.77

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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.