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Finding the Fourth Proportional to 308,584.49, 462,156.99 and 300,069.61

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Solution

The fourth proportional to 308,584.49, 462,156.99 and 300,069.61 is: 449,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,584.49 : 462,156.99 = 300,069.61 : x
  2. Step 2: Convert to fraction form
    308,584.49/462,156.99 = 300,069.61/x
  3. Step 3: Cross multiply
    308,584.49x = 462,156.99 × 300,069.61
  4. Step 4: Simplify right side
    308,584.49x = 138,679,269,754.95
  5. Step 5: Solve for x
    x = 138,679,269,754.95/308,584.49
  6. Step 6: Final answer
    x = 449,404.54

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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.