Finding the Fourth Proportional to 258,114,416.44, 356,193,409.90 and 140,640,711.99
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Solution
The fourth proportional to 258,114,416.44, 356,193,409.90 and 140,640,711.99 is: 194,081,738.89
Step by Step Solution
- Step 1: Write the proportion equation
258,114,416.44 : 356,193,409.90 = 140,640,711.99 : x - Step 2: Convert to fraction form
258,114,416.44/356,193,409.90 = 140,640,711.99/x - Step 3: Cross multiply
258,114,416.44x = 356,193,409.90 × 140,640,711.99 - Step 4: Simplify right side
258,114,416.44x = 50,095,294,774,481,912 - Step 5: Solve for x
x = 50,095,294,774,481,912/258,114,416.44 - Step 6: Final answer
x = 194,081,738.89
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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.