Finding the Fourth Proportional to 286,471,222,704.22, 395,331,516,381.23 and 156,262,914,845.53
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Solution
The fourth proportional to 286,471,222,704.22, 395,331,516,381.23 and 156,262,914,845.53 is: 215,643,492,902.66
Step by Step Solution
- Step 1: Write the proportion equation
286,471,222,704.22 : 395,331,516,381.23 = 156,262,914,845.53 : x - Step 2: Convert to fraction form
286,471,222,704.22/395,331,516,381.23 = 156,262,914,845.53/x - Step 3: Cross multiply
286,471,222,704.22x = 395,331,516,381.23 × 156,262,914,845.53 - Step 4: Simplify right side
286,471,222,704.22x = 61,775,655,080,034,387,886,080 - Step 5: Solve for x
x = 61,775,655,080,034,387,886,080/286,471,222,704.22 - Step 6: Final answer
x = 215,643,492,902.66
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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.