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Finding the Fourth Proportional to 299,451,751.40, 448,421,799.90 and 196,659,252.20

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Solution

The fourth proportional to 299,451,751.40, 448,421,799.90 and 196,659,252.20 is: 294,492,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,451,751.40 : 448,421,799.90 = 196,659,252.20 : x
  2. Step 2: Convert to fraction form
    299,451,751.40/448,421,799.90 = 196,659,252.20/x
  3. Step 3: Cross multiply
    299,451,751.40x = 448,421,799.90 × 196,659,252.20
  4. Step 4: Simplify right side
    299,451,751.40x = 88,186,295,838,512,032
  5. Step 5: Solve for x
    x = 88,186,295,838,512,032/299,451,751.40
  6. Step 6: Final answer
    x = 294,492,503.14

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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.