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Finding the Fourth Proportional to 533,851,400.80, 800,777,101.20 and 419,189,615.20

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Solution

The fourth proportional to 533,851,400.80, 800,777,101.20 and 419,189,615.20 is: 628,784,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,851,400.80 : 800,777,101.20 = 419,189,615.20 : x
  2. Step 2: Convert to fraction form
    533,851,400.80/800,777,101.20 = 419,189,615.20/x
  3. Step 3: Cross multiply
    533,851,400.80x = 800,777,101.20 × 419,189,615.20
  4. Step 4: Simplify right side
    533,851,400.80x = 335,677,444,912,999,488
  5. Step 5: Solve for x
    x = 335,677,444,912,999,488/533,851,400.80
  6. Step 6: Final answer
    x = 628,784,422.80

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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.