Finding the Fourth Proportional to 1,770,029,413.36, 2,442,611,174.84 and 977,054,881.12
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Solution
The fourth proportional to 1,770,029,413.36, 2,442,611,174.84 and 977,054,881.12 is: 1,348,319,498.56
Step by Step Solution
- Step 1: Write the proportion equation
1,770,029,413.36 : 2,442,611,174.84 = 977,054,881.12 : x - Step 2: Convert to fraction form
1,770,029,413.36/2,442,611,174.84 = 977,054,881.12/x - Step 3: Cross multiply
1,770,029,413.36x = 2,442,611,174.84 × 977,054,881.12 - Step 4: Simplify right side
1,770,029,413.36x = 2,386,565,171,055,680,000 - Step 5: Solve for x
x = 2,386,565,171,055,680,000/1,770,029,413.36 - Step 6: Final answer
x = 1,348,319,498.56
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1.5x scale
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.