Finding the Fourth Proportional to 820,820.24, 1,132,420.20 and 498,408.08
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Solution
The fourth proportional to 820,820.24, 1,132,420.20 and 498,408.08 is: 687,613.86
Step by Step Solution
- Step 1: Write the proportion equation
820,820.24 : 1,132,420.20 = 498,408.08 : x - Step 2: Convert to fraction form
820,820.24/1,132,420.20 = 498,408.08/x - Step 3: Cross multiply
820,820.24x = 1,132,420.20 × 498,408.08 - Step 4: Simplify right side
820,820.24x = 564,407,377,635.22 - Step 5: Solve for x
x = 564,407,377,635.22/820,820.24 - Step 6: Final answer
x = 687,613.86
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1.5x scale
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.