Finding the Fourth Proportional to 512,051,718.21, 706,633,129.71 and 277,102,316.40
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Solution
The fourth proportional to 512,051,718.21, 706,633,129.71 and 277,102,316.40 is: 382,402,148.31
Step by Step Solution
- Step 1: Write the proportion equation
512,051,718.21 : 706,633,129.71 = 277,102,316.40 : x - Step 2: Convert to fraction form
512,051,718.21/706,633,129.71 = 277,102,316.40/x - Step 3: Cross multiply
512,051,718.21x = 706,633,129.71 × 277,102,316.40 - Step 4: Simplify right side
512,051,718.21x = 195,809,677,087,622,656 - Step 5: Solve for x
x = 195,809,677,087,622,656/512,051,718.21 - Step 6: Final answer
x = 382,402,148.31
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.