Finding the Fourth Proportional to 513,904.26, 770,413.41 and 198,582.42
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Solution
The fourth proportional to 513,904.26, 770,413.41 and 198,582.42 is: 297,702.45
Step by Step Solution
- Step 1: Write the proportion equation
513,904.26 : 770,413.41 = 198,582.42 : x - Step 2: Convert to fraction form
513,904.26/770,413.41 = 198,582.42/x - Step 3: Cross multiply
513,904.26x = 770,413.41 × 198,582.42 - Step 4: Simplify right side
513,904.26x = 152,990,559,358.25 - Step 5: Solve for x
x = 152,990,559,358.25/513,904.26 - Step 6: Final answer
x = 297,702.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.