Finding the Fourth Proportional to 313,276,680,201.88, 469,914,433,775.55 and 98,161,690,614.21
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Solution
The fourth proportional to 313,276,680,201.88, 469,914,433,775.55 and 98,161,690,614.21 is: 147,242,352,139.66
Step by Step Solution
- Step 1: Write the proportion equation
313,276,680,201.88 : 469,914,433,775.55 = 98,161,690,614.21 : x - Step 2: Convert to fraction form
313,276,680,201.88/469,914,433,775.55 = 98,161,690,614.21/x - Step 3: Cross multiply
313,276,680,201.88x = 469,914,433,775.55 × 98,161,690,614.21 - Step 4: Simplify right side
313,276,680,201.88x = 46,127,595,263,427,218,505,728 - Step 5: Solve for x
x = 46,127,595,263,427,218,505,728/313,276,680,201.88 - Step 6: Final answer
x = 147,242,352,139.66
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1.5x scale
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.