Finding the Fourth Proportional to 305,224.83, 457,902.86 and 102,841.05
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Solution
The fourth proportional to 305,224.83, 457,902.86 and 102,841.05 is: 154,283.68
Step by Step Solution
- Step 1: Write the proportion equation
305,224.83 : 457,902.86 = 102,841.05 : x - Step 2: Convert to fraction form
305,224.83/457,902.86 = 102,841.05/x - Step 3: Cross multiply
305,224.83x = 457,902.86 × 102,841.05 - Step 4: Simplify right side
305,224.83x = 47,091,210,920.40 - Step 5: Solve for x
x = 47,091,210,920.40/305,224.83 - Step 6: Final answer
x = 154,283.68
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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.