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Finding the Fourth Proportional to 308,906.49, 462,486.15 and 196,307.58

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Solution

The fourth proportional to 308,906.49, 462,486.15 and 196,307.58 is: 293,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,906.49 : 462,486.15 = 196,307.58 : x
  2. Step 2: Convert to fraction form
    308,906.49/462,486.15 = 196,307.58/x
  3. Step 3: Cross multiply
    308,906.49x = 462,486.15 × 196,307.58
  4. Step 4: Simplify right side
    308,906.49x = 90,789,536,890.02
  5. Step 5: Solve for x
    x = 90,789,536,890.02/308,906.49
  6. Step 6: Final answer
    x = 293,906.21

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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.