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Finding the Fourth Proportional to 299,755.45, 449,854.91 and 141,984.26

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Solution

The fourth proportional to 299,755.45, 449,854.91 and 141,984.26 is: 213,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755.45 : 449,854.91 = 141,984.26 : x
  2. Step 2: Convert to fraction form
    299,755.45/449,854.91 = 141,984.26/x
  3. Step 3: Cross multiply
    299,755.45x = 449,854.91 × 141,984.26
  4. Step 4: Simplify right side
    299,755.45x = 63,872,313,544.52
  5. Step 5: Solve for x
    x = 63,872,313,544.52/299,755.45
  6. Step 6: Final answer
    x = 213,081.41

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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.