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Finding the Fourth Proportional to 299,274.60, 449,430.30 and 159,306.60

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Solution

The fourth proportional to 299,274.60, 449,430.30 and 159,306.60 is: 239,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,274.60 : 449,430.30 = 159,306.60 : x
  2. Step 2: Convert to fraction form
    299,274.60/449,430.30 = 159,306.60/x
  3. Step 3: Cross multiply
    299,274.60x = 449,430.30 × 159,306.60
  4. Step 4: Simplify right side
    299,274.60x = 71,597,213,029.98
  5. Step 5: Solve for x
    x = 71,597,213,029.98/299,274.60
  6. Step 6: Final answer
    x = 239,235.85

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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.