Finding the Fourth Proportional to 298,382,962.71, 408,786,117.30 and 287,199,636.62
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Solution
The fourth proportional to 298,382,962.71, 408,786,117.30 and 287,199,636.62 is: 393,464,905.90
Step by Step Solution
- Step 1: Write the proportion equation
298,382,962.71 : 408,786,117.30 = 287,199,636.62 : x - Step 2: Convert to fraction form
298,382,962.71/408,786,117.30 = 287,199,636.62/x - Step 3: Cross multiply
298,382,962.71x = 408,786,117.30 × 287,199,636.62 - Step 4: Simplify right side
298,382,962.71x = 117,403,224,342,424,704 - Step 5: Solve for x
x = 117,403,224,342,424,704/298,382,962.71 - Step 6: Final answer
x = 393,464,905.90
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.