Finding the Fourth Proportional to 209,441.48, 314,043.21 and 142,962.08
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Solution
The fourth proportional to 209,441.48, 314,043.21 and 142,962.08 is: 214,361.88
Step by Step Solution
- Step 1: Write the proportion equation
209,441.48 : 314,043.21 = 142,962.08 : x - Step 2: Convert to fraction form
209,441.48/314,043.21 = 142,962.08/x - Step 3: Cross multiply
209,441.48x = 314,043.21 × 142,962.08 - Step 4: Simplify right side
209,441.48x = 44,896,268,941.26 - Step 5: Solve for x
x = 44,896,268,941.26/209,441.48 - Step 6: Final answer
x = 214,361.88
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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.