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Finding the Fourth Proportional to 419,782,699.80, 579,485,906.60 and 271,176,295.64

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Solution

The fourth proportional to 419,782,699.80, 579,485,906.60 and 271,176,295.64 is: 374,343,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,782,699.80 : 579,485,906.60 = 271,176,295.64 : x
  2. Step 2: Convert to fraction form
    419,782,699.80/579,485,906.60 = 271,176,295.64/x
  3. Step 3: Cross multiply
    419,782,699.80x = 579,485,906.60 × 271,176,295.64
  4. Step 4: Simplify right side
    419,782,699.80x = 157,142,841,523,121,728
  5. Step 5: Solve for x
    x = 157,142,841,523,121,728/419,782,699.80
  6. Step 6: Final answer
    x = 374,343,300.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.