Finding the Fourth Proportional to 763,923,262,165.48, 1,054,217,379,252.70 and 416,701,107,874.90
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Solution
The fourth proportional to 763,923,262,165.48, 1,054,217,379,252.70 and 416,701,107,874.90 is: 575,049,316,642.51
Step by Step Solution
- Step 1: Write the proportion equation
763,923,262,165.48 : 1,054,217,379,252.70 = 416,701,107,874.90 : x - Step 2: Convert to fraction form
763,923,262,165.48/1,054,217,379,252.70 = 416,701,107,874.90/x - Step 3: Cross multiply
763,923,262,165.48x = 1,054,217,379,252.70 × 416,701,107,874.90 - Step 4: Simplify right side
763,923,262,165.48x = 439,293,549,875,573,718,777,856 - Step 5: Solve for x
x = 439,293,549,875,573,718,777,856/763,923,262,165.48 - Step 6: Final answer
x = 575,049,316,642.51
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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.