Finding the Fourth Proportional to 729,804,577, 1,006,323,276.90 and 465,067,201
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Solution
The fourth proportional to 729,804,577, 1,006,323,276.90 and 465,067,201 is: 641,278,452.39
Step by Step Solution
- Step 1: Write the proportion equation
729,804,577 : 1,006,323,276.90 = 465,067,201 : x - Step 2: Convert to fraction form
729,804,577/1,006,323,276.90 = 465,067,201/x - Step 3: Cross multiply
729,804,577x = 1,006,323,276.90 × 465,067,201 - Step 4: Simplify right side
729,804,577x = 468,007,949,689,030,976 - Step 5: Solve for x
x = 468,007,949,689,030,976/729,804,577 - Step 6: Final answer
x = 641,278,452.39
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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.