Finding the Fourth Proportional to 256,775,987,135.28, 384,828,922,521.54 and 143,451,135,622.26
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Solution
The fourth proportional to 256,775,987,135.28, 384,828,922,521.54 and 143,451,135,622.26 is: 214,989,518,965.11
Step by Step Solution
- Step 1: Write the proportion equation
256,775,987,135.28 : 384,828,922,521.54 = 143,451,135,622.26 : x - Step 2: Convert to fraction form
256,775,987,135.28/384,828,922,521.54 = 143,451,135,622.26/x - Step 3: Cross multiply
256,775,987,135.28x = 384,828,922,521.54 × 143,451,135,622.26 - Step 4: Simplify right side
256,775,987,135.28x = 55,204,145,956,005,622,054,912 - Step 5: Solve for x
x = 55,204,145,956,005,622,054,912/256,775,987,135.28 - Step 6: Final answer
x = 214,989,518,965.11
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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.