Finding the Fourth Proportional to 205,348.84, 307,416.74 and 151,684.48
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Solution
The fourth proportional to 205,348.84, 307,416.74 and 151,684.48 is: 227,078.70
Step by Step Solution
- Step 1: Write the proportion equation
205,348.84 : 307,416.74 = 151,684.48 : x - Step 2: Convert to fraction form
205,348.84/307,416.74 = 151,684.48/x - Step 3: Cross multiply
205,348.84x = 307,416.74 × 151,684.48 - Step 4: Simplify right side
205,348.84x = 46,630,347,976.04 - Step 5: Solve for x
x = 46,630,347,976.04/205,348.84 - Step 6: Final answer
x = 227,078.70
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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.