Finding the Fourth Proportional to 408,310,695,983.12, 563,469,594,918.15 and 225,408,049,213.49
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Solution
The fourth proportional to 408,310,695,983.12, 563,469,594,918.15 and 225,408,049,213.49 is: 311,063,568,579.32
Step by Step Solution
- Step 1: Write the proportion equation
408,310,695,983.12 : 563,469,594,918.15 = 225,408,049,213.49 : x - Step 2: Convert to fraction form
408,310,695,983.12/563,469,594,918.15 = 225,408,049,213.49/x - Step 3: Cross multiply
408,310,695,983.12x = 563,469,594,918.15 × 225,408,049,213.49 - Step 4: Simplify right side
408,310,695,983.12x = 127,010,582,181,615,635,529,728 - Step 5: Solve for x
x = 127,010,582,181,615,635,529,728/408,310,695,983.12 - Step 6: Final answer
x = 311,063,568,579.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.