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Finding the Fourth Proportional to 299,837.89, 449,756.43 and 78,221.89

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Solution

The fourth proportional to 299,837.89, 449,756.43 and 78,221.89 is: 117,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,837.89 : 449,756.43 = 78,221.89 : x
  2. Step 2: Convert to fraction form
    299,837.89/449,756.43 = 78,221.89/x
  3. Step 3: Cross multiply
    299,837.89x = 449,756.43 × 78,221.89
  4. Step 4: Simplify right side
    299,837.89x = 35,180,797,994.25
  5. Step 5: Solve for x
    x = 35,180,797,994.25/299,837.89
  6. Step 6: Final answer
    x = 117,332.73

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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.