Finding the Fourth Proportional to 213,347,487.20, 320,021,230.80 and 159,599,775.20
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Solution
The fourth proportional to 213,347,487.20, 320,021,230.80 and 159,599,775.20 is: 239,399,662.80
Step by Step Solution
- Step 1: Write the proportion equation
213,347,487.20 : 320,021,230.80 = 159,599,775.20 : x - Step 2: Convert to fraction form
213,347,487.20/320,021,230.80 = 159,599,775.20/x - Step 3: Cross multiply
213,347,487.20x = 320,021,230.80 × 159,599,775.20 - Step 4: Simplify right side
213,347,487.20x = 51,075,316,494,907,312 - Step 5: Solve for x
x = 51,075,316,494,907,312/213,347,487.20 - Step 6: Final answer
x = 239,399,662.80
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1.5x scale
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.