Finding the Fourth Proportional to 512,192.35, 706,836.75 and 282,749.09
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Solution
The fourth proportional to 512,192.35, 706,836.75 and 282,749.09 is: 390,199.99
Step by Step Solution
- Step 1: Write the proportion equation
512,192.35 : 706,836.75 = 282,749.09 : x - Step 2: Convert to fraction form
512,192.35/706,836.75 = 282,749.09/x - Step 3: Cross multiply
512,192.35x = 706,836.75 × 282,749.09 - Step 4: Simplify right side
512,192.35x = 199,857,447,841.06 - Step 5: Solve for x
x = 199,857,447,841.06/512,192.35 - Step 6: Final answer
x = 390,199.99
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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.