Finding the Fourth Proportional to 282,297,856.40, 422,879,914.20 and 160,987,590.80
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Solution
The fourth proportional to 282,297,856.40, 422,879,914.20 and 160,987,590.80 is: 241,158,113.82
Step by Step Solution
- Step 1: Write the proportion equation
282,297,856.40 : 422,879,914.20 = 160,987,590.80 : x - Step 2: Convert to fraction form
282,297,856.40/422,879,914.20 = 160,987,590.80/x - Step 3: Cross multiply
282,297,856.40x = 422,879,914.20 × 160,987,590.80 - Step 4: Simplify right side
282,297,856.40x = 68,078,418,584,768,712 - Step 5: Solve for x
x = 68,078,418,584,768,712/282,297,856.40 - Step 6: Final answer
x = 241,158,113.82
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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.