Finding the Fourth Proportional to 497,116.26, 686,025.08 and 282,260.92
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Solution
The fourth proportional to 497,116.26, 686,025.08 and 282,260.92 is: 389,522.70
Step by Step Solution
- Step 1: Write the proportion equation
497,116.26 : 686,025.08 = 282,260.92 : x - Step 2: Convert to fraction form
497,116.26/686,025.08 = 282,260.92/x - Step 3: Cross multiply
497,116.26x = 686,025.08 × 282,260.92 - Step 4: Simplify right side
497,116.26x = 193,638,070,223.87 - Step 5: Solve for x
x = 193,638,070,223.87/497,116.26 - Step 6: Final answer
x = 389,522.70
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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.