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Finding the Fourth Proportional to 212,786.88, 318,781.68 and 190,878

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Solution

The fourth proportional to 212,786.88, 318,781.68 and 190,878 is: 285,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,786.88 : 318,781.68 = 190,878 : x
  2. Step 2: Convert to fraction form
    212,786.88/318,781.68 = 190,878/x
  3. Step 3: Cross multiply
    212,786.88x = 318,781.68 × 190,878
  4. Step 4: Simplify right side
    212,786.88x = 60,848,409,515.04
  5. Step 5: Solve for x
    x = 60,848,409,515.04/212,786.88
  6. Step 6: Final answer
    x = 285,959.40

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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.