Finding the Fourth Proportional to 1,151,452,190.23, 1,727,183,320.92 and 364,509,685.58
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Solution
The fourth proportional to 1,151,452,190.23, 1,727,183,320.92 and 364,509,685.58 is: 546,766,122.45
Step by Step Solution
- Step 1: Write the proportion equation
1,151,452,190.23 : 1,727,183,320.92 = 364,509,685.58 : x - Step 2: Convert to fraction form
1,151,452,190.23/1,727,183,320.92 = 364,509,685.58/x - Step 3: Cross multiply
1,151,452,190.23x = 1,727,183,320.92 × 364,509,685.58 - Step 4: Simplify right side
1,151,452,190.23x = 629,575,049,238,933,504 - Step 5: Solve for x
x = 629,575,049,238,933,504/1,151,452,190.23 - Step 6: Final answer
x = 546,766,122.45
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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.