Finding the Fourth Proportional to 512,037,780.30, 706,612,137.71 and 277,088,440.68
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Solution
The fourth proportional to 512,037,780.30, 706,612,137.71 and 277,088,440.68 is: 382,382,048.62
Step by Step Solution
- Step 1: Write the proportion equation
512,037,780.30 : 706,612,137.71 = 277,088,440.68 : x - Step 2: Convert to fraction form
512,037,780.30/706,612,137.71 = 277,088,440.68/x - Step 3: Cross multiply
512,037,780.30x = 706,612,137.71 × 277,088,440.68 - Step 4: Simplify right side
512,037,780.30x = 195,794,055,402,239,904 - Step 5: Solve for x
x = 195,794,055,402,239,904/512,037,780.30 - Step 6: Final answer
x = 382,382,048.62
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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.