Finding the Fourth Proportional to 289,137,692,380.68, 398,589,483,428.94 and 202,059,909,750.60
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Solution
The fourth proportional to 289,137,692,380.68, 398,589,483,428.94 and 202,059,909,750.60 is: 278,548,792,397.33
Step by Step Solution
- Step 1: Write the proportion equation
289,137,692,380.68 : 398,589,483,428.94 = 202,059,909,750.60 : x - Step 2: Convert to fraction form
289,137,692,380.68/398,589,483,428.94 = 202,059,909,750.60/x - Step 3: Cross multiply
289,137,692,380.68x = 398,589,483,428.94 × 202,059,909,750.60 - Step 4: Simplify right side
289,137,692,380.68x = 80,538,955,049,189,897,142,272 - Step 5: Solve for x
x = 80,538,955,049,189,897,142,272/289,137,692,380.68 - Step 6: Final answer
x = 278,548,792,397.33
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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.