Finding the Fourth Proportional to 380,117,002.92, 524,561,468.16 and 206,276,746.92
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Solution
The fourth proportional to 380,117,002.92, 524,561,468.16 and 206,276,746.92 is: 284,661,912.99
Step by Step Solution
- Step 1: Write the proportion equation
380,117,002.92 : 524,561,468.16 = 206,276,746.92 : x - Step 2: Convert to fraction form
380,117,002.92/524,561,468.16 = 206,276,746.92/x - Step 3: Cross multiply
380,117,002.92x = 524,561,468.16 × 206,276,746.92 - Step 4: Simplify right side
380,117,002.92x = 108,204,833,211,623,952 - Step 5: Solve for x
x = 108,204,833,211,623,952/380,117,002.92 - Step 6: Final answer
x = 284,661,912.99
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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.