Finding the Fourth Proportional to 407,708.74, 562,664.09 and 226,420.62
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Solution
The fourth proportional to 407,708.74, 562,664.09 and 226,420.62 is: 312,474.91
Step by Step Solution
- Step 1: Write the proportion equation
407,708.74 : 562,664.09 = 226,420.62 : x - Step 2: Convert to fraction form
407,708.74/562,664.09 = 226,420.62/x - Step 3: Cross multiply
407,708.74x = 562,664.09 × 226,420.62 - Step 4: Simplify right side
407,708.74x = 127,398,752,109.54 - Step 5: Solve for x
x = 127,398,752,109.54/407,708.74 - Step 6: Final answer
x = 312,474.91
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.