Finding the Fourth Proportional to 311,953,214,218, 430,495,435,620.84 and 178,443,897,610
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Solution
The fourth proportional to 311,953,214,218, 430,495,435,620.84 and 178,443,897,610 is: 246,252,578,701.80
Step by Step Solution
- Step 1: Write the proportion equation
311,953,214,218 : 430,495,435,620.84 = 178,443,897,610 : x - Step 2: Convert to fraction form
311,953,214,218/430,495,435,620.84 = 178,443,897,610/x - Step 3: Cross multiply
311,953,214,218x = 430,495,435,620.84 × 178,443,897,610 - Step 4: Simplify right side
311,953,214,218x = 76,819,283,435,497,522,724,864 - Step 5: Solve for x
x = 76,819,283,435,497,522,724,864/311,953,214,218 - Step 6: Final answer
x = 246,252,578,701.80
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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.