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Finding the Fourth Proportional to 271,997,985.80, 407,996,978.70 and 196,037,352.20

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Solution

The fourth proportional to 271,997,985.80, 407,996,978.70 and 196,037,352.20 is: 294,056,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,997,985.80 : 407,996,978.70 = 196,037,352.20 : x
  2. Step 2: Convert to fraction form
    271,997,985.80/407,996,978.70 = 196,037,352.20/x
  3. Step 3: Cross multiply
    271,997,985.80x = 407,996,978.70 × 196,037,352.20
  4. Step 4: Simplify right side
    271,997,985.80x = 79,982,647,409,947,792
  5. Step 5: Solve for x
    x = 79,982,647,409,947,792/271,997,985.80
  6. Step 6: Final answer
    x = 294,056,028.30

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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.