Finding the Fourth Proportional to 490,595,975.87, 735,995,528.09 and 199,463,148.23
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Solution
The fourth proportional to 490,595,975.87, 735,995,528.09 and 199,463,148.23 is: 299,236,015.65
Step by Step Solution
- Step 1: Write the proportion equation
490,595,975.87 : 735,995,528.09 = 199,463,148.23 : x - Step 2: Convert to fraction form
490,595,975.87/735,995,528.09 = 199,463,148.23/x - Step 3: Cross multiply
490,595,975.87x = 735,995,528.09 × 199,463,148.23 - Step 4: Simplify right side
490,595,975.87x = 146,803,985,111,355,520 - Step 5: Solve for x
x = 146,803,985,111,355,520/490,595,975.87 - Step 6: Final answer
x = 299,236,015.65
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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.