Finding the Fourth Proportional to 318,292,311,241.44, 439,241,115,347.22 and 173,776,436,212.12
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Solution
The fourth proportional to 318,292,311,241.44, 439,241,115,347.22 and 173,776,436,212.12 is: 239,810,240,357.89
Step by Step Solution
- Step 1: Write the proportion equation
318,292,311,241.44 : 439,241,115,347.22 = 173,776,436,212.12 : x - Step 2: Convert to fraction form
318,292,311,241.44/439,241,115,347.22 = 173,776,436,212.12/x - Step 3: Cross multiply
318,292,311,241.44x = 439,241,115,347.22 × 173,776,436,212.12 - Step 4: Simplify right side
318,292,311,241.44x = 76,329,755,662,876,604,891,136 - Step 5: Solve for x
x = 76,329,755,662,876,604,891,136/318,292,311,241.44 - Step 6: Final answer
x = 239,810,240,357.89
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1.5x scale
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.