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Finding the Fourth Proportional to 308,861.49, 462,418.65 and 196,262.58

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Solution

The fourth proportional to 308,861.49, 462,418.65 and 196,262.58 is: 293,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,861.49 : 462,418.65 = 196,262.58 : x
  2. Step 2: Convert to fraction form
    308,861.49/462,418.65 = 196,262.58/x
  3. Step 3: Cross multiply
    308,861.49x = 462,418.65 × 196,262.58
  4. Step 4: Simplify right side
    308,861.49x = 90,755,477,289.12
  5. Step 5: Solve for x
    x = 90,755,477,289.12/308,861.49
  6. Step 6: Final answer
    x = 293,838.76

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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.