Finding the Fourth Proportional to 2,477,812,415.40, 3,717,278,571.78 and 819,715,784.76
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Solution
The fourth proportional to 2,477,812,415.40, 3,717,278,571.78 and 819,715,784.76 is: 1,229,758,920.69
Step by Step Solution
- Step 1: Write the proportion equation
2,477,812,415.40 : 3,717,278,571.78 = 819,715,784.76 : x - Step 2: Convert to fraction form
2,477,812,415.40/3,717,278,571.78 = 819,715,784.76/x - Step 3: Cross multiply
2,477,812,415.40x = 3,717,278,571.78 × 819,715,784.76 - Step 4: Simplify right side
2,477,812,415.40x = 3,047,111,921,638,174,720 - Step 5: Solve for x
x = 3,047,111,921,638,174,720/2,477,812,415.40 - Step 6: Final answer
x = 1,229,758,920.69
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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.