Finding the Fourth Proportional to 272,098,341,010.20, 408,147,511,515.30 and 186,877,312,555.80
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Solution
The fourth proportional to 272,098,341,010.20, 408,147,511,515.30 and 186,877,312,555.80 is: 280,315,968,833.70
Step by Step Solution
- Step 1: Write the proportion equation
272,098,341,010.20 : 408,147,511,515.30 = 186,877,312,555.80 : x - Step 2: Convert to fraction form
272,098,341,010.20/408,147,511,515.30 = 186,877,312,555.80/x - Step 3: Cross multiply
272,098,341,010.20x = 408,147,511,515.30 × 186,877,312,555.80 - Step 4: Simplify right side
272,098,341,010.20x = 76,273,510,078,316,688,703,488 - Step 5: Solve for x
x = 76,273,510,078,316,688,703,488/272,098,341,010.20 - Step 6: Final answer
x = 280,315,968,833.70
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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.