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Finding the Fourth Proportional to 404,309.97, 605,973.02 and 286,015.41

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Solution

The fourth proportional to 404,309.97, 605,973.02 and 286,015.41 is: 428,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,309.97 : 605,973.02 = 286,015.41 : x
  2. Step 2: Convert to fraction form
    404,309.97/605,973.02 = 286,015.41/x
  3. Step 3: Cross multiply
    404,309.97x = 605,973.02 × 286,015.41
  4. Step 4: Simplify right side
    404,309.97x = 173,317,620,334.16
  5. Step 5: Solve for x
    x = 173,317,620,334.16/404,309.97
  6. Step 6: Final answer
    x = 428,675.11

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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.