Finding the Fourth Proportional to 498,107.84, 687,383.11 and 280,315.68
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Solution
The fourth proportional to 498,107.84, 687,383.11 and 280,315.68 is: 386,832.42
Step by Step Solution
- Step 1: Write the proportion equation
498,107.84 : 687,383.11 = 280,315.68 : x - Step 2: Convert to fraction form
498,107.84/687,383.11 = 280,315.68/x - Step 3: Cross multiply
498,107.84x = 687,383.11 × 280,315.68 - Step 4: Simplify right side
498,107.84x = 192,684,263,199.38 - Step 5: Solve for x
x = 192,684,263,199.38/498,107.84 - Step 6: Final answer
x = 386,832.42
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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.