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Finding the Fourth Proportional to 404,309.72, 605,972.64 and 286,015.16

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Solution

The fourth proportional to 404,309.72, 605,972.64 and 286,015.16 is: 428,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,309.72 : 605,972.64 = 286,015.16 : x
  2. Step 2: Convert to fraction form
    404,309.72/605,972.64 = 286,015.16/x
  3. Step 3: Cross multiply
    404,309.72x = 605,972.64 × 286,015.16
  4. Step 4: Simplify right side
    404,309.72x = 173,317,361,585.22
  5. Step 5: Solve for x
    x = 173,317,361,585.22/404,309.72
  6. Step 6: Final answer
    x = 428,674.73

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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.