Finding the Fourth Proportional to 407,420.24, 562,273.80 and 226,149.20
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Solution
The fourth proportional to 407,420.24, 562,273.80 and 226,149.20 is: 312,104.70
Step by Step Solution
- Step 1: Write the proportion equation
407,420.24 : 562,273.80 = 226,149.20 : x - Step 2: Convert to fraction form
407,420.24/562,273.80 = 226,149.20/x - Step 3: Cross multiply
407,420.24x = 562,273.80 × 226,149.20 - Step 4: Simplify right side
407,420.24x = 127,157,770,050.96 - Step 5: Solve for x
x = 127,157,770,050.96/407,420.24 - Step 6: Final answer
x = 312,104.70
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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.