Finding the Fourth Proportional to 1,461,470,345.20, 2,192,205,517.80 and 996,565,758.40
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Solution
The fourth proportional to 1,461,470,345.20, 2,192,205,517.80 and 996,565,758.40 is: 1,494,848,637.60
Step by Step Solution
- Step 1: Write the proportion equation
1,461,470,345.20 : 2,192,205,517.80 = 996,565,758.40 : x - Step 2: Convert to fraction form
1,461,470,345.20/2,192,205,517.80 = 996,565,758.40/x - Step 3: Cross multiply
1,461,470,345.20x = 2,192,205,517.80 × 996,565,758.40 - Step 4: Simplify right side
1,461,470,345.20x = 2,184,676,954,415,021,824 - Step 5: Solve for x
x = 2,184,676,954,415,021,824/1,461,470,345.20 - Step 6: Final answer
x = 1,494,848,637.60
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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.