Finding the Fourth Proportional to 311,930,910.70, 467,896,366.05 and 287,744,440.30
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Solution
The fourth proportional to 311,930,910.70, 467,896,366.05 and 287,744,440.30 is: 431,616,660.45
Step by Step Solution
- Step 1: Write the proportion equation
311,930,910.70 : 467,896,366.05 = 287,744,440.30 : x - Step 2: Convert to fraction form
311,930,910.70/467,896,366.05 = 287,744,440.30/x - Step 3: Cross multiply
311,930,910.70x = 467,896,366.05 × 287,744,440.30 - Step 4: Simplify right side
311,930,910.70x = 134,634,577,967,461,184 - Step 5: Solve for x
x = 134,634,577,967,461,184/311,930,910.70 - Step 6: Final answer
x = 431,616,660.45
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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.