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Finding the Fourth Proportional to 299,564.65, 449,451.93 and 187,113.21

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Solution

The fourth proportional to 299,564.65, 449,451.93 and 187,113.21 is: 280,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,564.65 : 449,451.93 = 187,113.21 : x
  2. Step 2: Convert to fraction form
    299,564.65/449,451.93 = 187,113.21/x
  3. Step 3: Cross multiply
    299,564.65x = 449,451.93 × 187,113.21
  4. Step 4: Simplify right side
    299,564.65x = 84,098,393,363.00
  5. Step 5: Solve for x
    x = 84,098,393,363.00/299,564.65
  6. Step 6: Final answer
    x = 280,735.37

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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.