Finding the Fourth Proportional to 378,497.64, 522,320.14 and 206,416.92
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Solution
The fourth proportional to 378,497.64, 522,320.14 and 206,416.92 is: 284,851.75
Step by Step Solution
- Step 1: Write the proportion equation
378,497.64 : 522,320.14 = 206,416.92 : x - Step 2: Convert to fraction form
378,497.64/522,320.14 = 206,416.92/x - Step 3: Cross multiply
378,497.64x = 522,320.14 × 206,416.92 - Step 4: Simplify right side
378,497.64x = 107,815,714,552.77 - Step 5: Solve for x
x = 107,815,714,552.77/378,497.64 - Step 6: Final answer
x = 284,851.75
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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.