Finding the Fourth Proportional to 395,117,046,207.69, 545,266,482,815.74 and 214,678,966,726.41
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Solution
The fourth proportional to 395,117,046,207.69, 545,266,482,815.74 and 214,678,966,726.41 is: 296,259,668,482.89
Step by Step Solution
- Step 1: Write the proportion equation
395,117,046,207.69 : 545,266,482,815.74 = 214,678,966,726.41 : x - Step 2: Convert to fraction form
395,117,046,207.69/545,266,482,815.74 = 214,678,966,726.41/x - Step 3: Cross multiply
395,117,046,207.69x = 545,266,482,815.74 × 214,678,966,726.41 - Step 4: Simplify right side
395,117,046,207.69x = 117,057,245,121,426,856,345,600 - Step 5: Solve for x
x = 117,057,245,121,426,856,345,600/395,117,046,207.69 - Step 6: Final answer
x = 296,259,668,482.89
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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.