Finding the Fourth Proportional to 205,122.40, 307,683.60 and 149,135.20
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Solution
The fourth proportional to 205,122.40, 307,683.60 and 149,135.20 is: 223,702.80
Step by Step Solution
- Step 1: Write the proportion equation
205,122.40 : 307,683.60 = 149,135.20 : x - Step 2: Convert to fraction form
205,122.40/307,683.60 = 149,135.20/x - Step 3: Cross multiply
205,122.40x = 307,683.60 × 149,135.20 - Step 4: Simplify right side
205,122.40x = 45,886,455,222.72 - Step 5: Solve for x
x = 45,886,455,222.72/205,122.40 - Step 6: Final answer
x = 223,702.80
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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.