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Finding the Fourth Proportional to 285,144.36, 427,759.74 and 206,849.40

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Solution

The fourth proportional to 285,144.36, 427,759.74 and 206,849.40 is: 310,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,144.36 : 427,759.74 = 206,849.40 : x
  2. Step 2: Convert to fraction form
    285,144.36/427,759.74 = 206,849.40/x
  3. Step 3: Cross multiply
    285,144.36x = 427,759.74 × 206,849.40
  4. Step 4: Simplify right side
    285,144.36x = 88,481,845,563.16
  5. Step 5: Solve for x
    x = 88,481,845,563.16/285,144.36
  6. Step 6: Final answer
    x = 310,305.44

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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.