Finding the Fourth Proportional to 830,104,018,838.10, 1,245,210,663,396.60 and 217,498,579,323.39
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Solution
The fourth proportional to 830,104,018,838.10, 1,245,210,663,396.60 and 217,498,579,323.39 is: 326,262,184,137.09
Step by Step Solution
- Step 1: Write the proportion equation
830,104,018,838.10 : 1,245,210,663,396.60 = 217,498,579,323.39 : x - Step 2: Convert to fraction form
830,104,018,838.10/1,245,210,663,396.60 = 217,498,579,323.39/x - Step 3: Cross multiply
830,104,018,838.10x = 1,245,210,663,396.60 × 217,498,579,323.39 - Step 4: Simplify right side
830,104,018,838.10x = 270,831,550,247,096,534,695,936 - Step 5: Solve for x
x = 270,831,550,247,096,534,695,936/830,104,018,838.10 - Step 6: Final answer
x = 326,262,184,137.09
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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.