Finding the Fourth Proportional to 311,876,460.12, 430,392,916.19 and 172,649,546.94
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Solution
The fourth proportional to 311,876,460.12, 430,392,916.19 and 172,649,546.94 is: 238,258,257.63
Step by Step Solution
- Step 1: Write the proportion equation
311,876,460.12 : 430,392,916.19 = 172,649,546.94 : x - Step 2: Convert to fraction form
311,876,460.12/430,392,916.19 = 172,649,546.94/x - Step 3: Cross multiply
311,876,460.12x = 430,392,916.19 × 172,649,546.94 - Step 4: Simplify right side
311,876,460.12x = 74,307,141,985,525,648 - Step 5: Solve for x
x = 74,307,141,985,525,648/311,876,460.12 - Step 6: Final answer
x = 238,258,257.63
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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.