Finding the Fourth Proportional to 311,806.32, 430,282.26 and 197,146.68
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Solution
The fourth proportional to 311,806.32, 430,282.26 and 197,146.68 is: 272,055.80
Step by Step Solution
- Step 1: Write the proportion equation
311,806.32 : 430,282.26 = 197,146.68 : x - Step 2: Convert to fraction form
311,806.32/430,282.26 = 197,146.68/x - Step 3: Cross multiply
311,806.32x = 430,282.26 × 197,146.68 - Step 4: Simplify right side
311,806.32x = 84,828,719,021.90 - Step 5: Solve for x
x = 84,828,719,021.90/311,806.32 - Step 6: Final answer
x = 272,055.80
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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.