Finding the Fourth Proportional to 314,930,745.20, 472,396,117.80 and 193,830,431.60
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Solution
The fourth proportional to 314,930,745.20, 472,396,117.80 and 193,830,431.60 is: 290,745,647.40
Step by Step Solution
- Step 1: Write the proportion equation
314,930,745.20 : 472,396,117.80 = 193,830,431.60 : x - Step 2: Convert to fraction form
314,930,745.20/472,396,117.80 = 193,830,431.60/x - Step 3: Cross multiply
314,930,745.20x = 472,396,117.80 × 193,830,431.60 - Step 4: Simplify right side
314,930,745.20x = 91,564,743,399,338,448 - Step 5: Solve for x
x = 91,564,743,399,338,448/314,930,745.20 - Step 6: Final answer
x = 290,745,647.40
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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.