Finding the Fourth Proportional to 419,202,143,625.76, 628,579,492,021.68 and 217,540,829,669.92
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Solution
The fourth proportional to 419,202,143,625.76, 628,579,492,021.68 and 217,540,829,669.92 is: 326,195,145,437.92
Step by Step Solution
- Step 1: Write the proportion equation
419,202,143,625.76 : 628,579,492,021.68 = 217,540,829,669.92 : x - Step 2: Convert to fraction form
419,202,143,625.76/628,579,492,021.68 = 217,540,829,669.92/x - Step 3: Cross multiply
419,202,143,625.76x = 628,579,492,021.68 × 217,540,829,669.92 - Step 4: Simplify right side
419,202,143,625.76x = 136,741,704,207,893,138,505,728 - Step 5: Solve for x
x = 136,741,704,207,893,138,505,728/419,202,143,625.76 - Step 6: Final answer
x = 326,195,145,437.92
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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.