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Finding the Fourth Proportional to 299,453,414.40, 448,424,294.40 and 196,660,915.20

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Solution

The fourth proportional to 299,453,414.40, 448,424,294.40 and 196,660,915.20 is: 294,494,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,453,414.40 : 448,424,294.40 = 196,660,915.20 : x
  2. Step 2: Convert to fraction form
    299,453,414.40/448,424,294.40 = 196,660,915.20/x
  3. Step 3: Cross multiply
    299,453,414.40x = 448,424,294.40 × 196,660,915.20
  4. Step 4: Simplify right side
    299,453,414.40x = 88,187,532,134,618,224
  5. Step 5: Solve for x
    x = 88,187,532,134,618,224/299,453,414.40
  6. Step 6: Final answer
    x = 294,494,996.20

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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.