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Finding the Fourth Proportional to 804,447, 1,206,669.84 and 205,408.26

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Solution

The fourth proportional to 804,447, 1,206,669.84 and 205,408.26 is: 308,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,447 : 1,206,669.84 = 205,408.26 : x
  2. Step 2: Convert to fraction form
    804,447/1,206,669.84 = 205,408.26/x
  3. Step 3: Cross multiply
    804,447x = 1,206,669.84 × 205,408.26
  4. Step 4: Simplify right side
    804,447x = 247,859,952,228.88
  5. Step 5: Solve for x
    x = 247,859,952,228.88/804,447
  6. Step 6: Final answer
    x = 308,112.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.