Finding the Fourth Proportional to 206,682,519.30, 310,023,778.95 and 185,637,455.70
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Solution
The fourth proportional to 206,682,519.30, 310,023,778.95 and 185,637,455.70 is: 278,456,183.55
Step by Step Solution
- Step 1: Write the proportion equation
206,682,519.30 : 310,023,778.95 = 185,637,455.70 : x - Step 2: Convert to fraction form
206,682,519.30/310,023,778.95 = 185,637,455.70/x - Step 3: Cross multiply
206,682,519.30x = 310,023,778.95 × 185,637,455.70 - Step 4: Simplify right side
206,682,519.30x = 57,552,025,530,777,208 - Step 5: Solve for x
x = 57,552,025,530,777,208/206,682,519.30 - Step 6: Final answer
x = 278,456,183.55
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1.5x scale
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.