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Finding the Fourth Proportional to 299,883.80, 449,825.70 and 78,267.80

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Solution

The fourth proportional to 299,883.80, 449,825.70 and 78,267.80 is: 117,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,883.80 : 449,825.70 = 78,267.80 : x
  2. Step 2: Convert to fraction form
    299,883.80/449,825.70 = 78,267.80/x
  3. Step 3: Cross multiply
    299,883.80x = 449,825.70 × 78,267.80
  4. Step 4: Simplify right side
    299,883.80x = 35,206,867,922.46
  5. Step 5: Solve for x
    x = 35,206,867,922.46/299,883.80
  6. Step 6: Final answer
    x = 117,401.70

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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.