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Finding the Fourth Proportional to 299,657,416.80, 449,486,125.20 and 281,741,512.80

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Solution

The fourth proportional to 299,657,416.80, 449,486,125.20 and 281,741,512.80 is: 422,612,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,657,416.80 : 449,486,125.20 = 281,741,512.80 : x
  2. Step 2: Convert to fraction form
    299,657,416.80/449,486,125.20 = 281,741,512.80/x
  3. Step 3: Cross multiply
    299,657,416.80x = 449,486,125.20 × 281,741,512.80
  4. Step 4: Simplify right side
    299,657,416.80x = 126,638,900,896,458,208
  5. Step 5: Solve for x
    x = 126,638,900,896,458,208/299,657,416.80
  6. Step 6: Final answer
    x = 422,612,269.20

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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.