Finding the Fourth Proportional to 470,783,148.05, 649,770,692.67 and 311,732,739.36
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Solution
The fourth proportional to 470,783,148.05, 649,770,692.67 and 311,732,739.36 is: 430,250,740.32
Step by Step Solution
- Step 1: Write the proportion equation
470,783,148.05 : 649,770,692.67 = 311,732,739.36 : x - Step 2: Convert to fraction form
470,783,148.05/649,770,692.67 = 311,732,739.36/x - Step 3: Cross multiply
470,783,148.05x = 649,770,692.67 × 311,732,739.36 - Step 4: Simplify right side
470,783,148.05x = 202,554,797,981,863,776 - Step 5: Solve for x
x = 202,554,797,981,863,776/470,783,148.05 - Step 6: Final answer
x = 430,250,740.32
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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.