Finding the Fourth Proportional to 901,198,701.76, 1,351,950,663.12 and 310,828,636.96
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Solution
The fourth proportional to 901,198,701.76, 1,351,950,663.12 and 310,828,636.96 is: 466,295,591.68
Step by Step Solution
- Step 1: Write the proportion equation
901,198,701.76 : 1,351,950,663.12 = 310,828,636.96 : x - Step 2: Convert to fraction form
901,198,701.76/1,351,950,663.12 = 310,828,636.96/x - Step 3: Cross multiply
901,198,701.76x = 1,351,950,663.12 × 310,828,636.96 - Step 4: Simplify right side
901,198,701.76x = 420,224,981,854,757,696 - Step 5: Solve for x
x = 420,224,981,854,757,696/901,198,701.76 - Step 6: Final answer
x = 466,295,591.68
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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.