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Finding the Fourth Proportional to 308,788.56, 462,704.58 and 214,202.70

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Solution

The fourth proportional to 308,788.56, 462,704.58 and 214,202.70 is: 320,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,788.56 : 462,704.58 = 214,202.70 : x
  2. Step 2: Convert to fraction form
    308,788.56/462,704.58 = 214,202.70/x
  3. Step 3: Cross multiply
    308,788.56x = 462,704.58 × 214,202.70
  4. Step 4: Simplify right side
    308,788.56x = 99,112,570,338.37
  5. Step 5: Solve for x
    x = 99,112,570,338.37/308,788.56
  6. Step 6: Final answer
    x = 320,972.29

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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.