Finding the Fourth Proportional to 1,121,806,911.24, 1,682,744,647.56 and 384,866,478.48
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Solution
The fourth proportional to 1,121,806,911.24, 1,682,744,647.56 and 384,866,478.48 is: 577,311,478.65
Step by Step Solution
- Step 1: Write the proportion equation
1,121,806,911.24 : 1,682,744,647.56 = 384,866,478.48 : x - Step 2: Convert to fraction form
1,121,806,911.24/1,682,744,647.56 = 384,866,478.48/x - Step 3: Cross multiply
1,121,806,911.24x = 1,682,744,647.56 × 384,866,478.48 - Step 4: Simplify right side
1,121,806,911.24x = 647,632,006,687,485,952 - Step 5: Solve for x
x = 647,632,006,687,485,952/1,121,806,911.24 - Step 6: Final answer
x = 577,311,478.65
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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.