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Finding the Fourth Proportional to 308,146.88, 462,216.60 and 97,786.64

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Solution

The fourth proportional to 308,146.88, 462,216.60 and 97,786.64 is: 146,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,146.88 : 462,216.60 = 97,786.64 : x
  2. Step 2: Convert to fraction form
    308,146.88/462,216.60 = 97,786.64/x
  3. Step 3: Cross multiply
    308,146.88x = 462,216.60 × 97,786.64
  4. Step 4: Simplify right side
    308,146.88x = 45,198,608,266.22
  5. Step 5: Solve for x
    x = 45,198,608,266.22/308,146.88
  6. Step 6: Final answer
    x = 146,678.78

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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.