Finding the Fourth Proportional to 314,957.23, 472,431.74 and 78,301.96
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Solution
The fourth proportional to 314,957.23, 472,431.74 and 78,301.96 is: 117,451.92
Step by Step Solution
- Step 1: Write the proportion equation
314,957.23 : 472,431.74 = 78,301.96 : x - Step 2: Convert to fraction form
314,957.23/472,431.74 = 78,301.96/x - Step 3: Cross multiply
314,957.23x = 472,431.74 × 78,301.96 - Step 4: Simplify right side
314,957.23x = 36,992,331,208.21 - Step 5: Solve for x
x = 36,992,331,208.21/314,957.23 - Step 6: Final answer
x = 117,451.92
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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.