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Finding the Fourth Proportional to 419,905,978.80, 629,858,968.20 and 389,294,977.20

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Solution

The fourth proportional to 419,905,978.80, 629,858,968.20 and 389,294,977.20 is: 583,942,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,978.80 : 629,858,968.20 = 389,294,977.20 : x
  2. Step 2: Convert to fraction form
    419,905,978.80/629,858,968.20 = 389,294,977.20/x
  3. Step 3: Cross multiply
    419,905,978.80x = 629,858,968.20 × 389,294,977.20
  4. Step 4: Simplify right side
    419,905,978.80x = 245,200,932,664,634,528
  5. Step 5: Solve for x
    x = 245,200,932,664,634,528/419,905,978.80
  6. Step 6: Final answer
    x = 583,942,465.80

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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.