Finding the Fourth Proportional to 355,894,020,520.26, 491,174,491,461.78 and 199,506,451,182.99
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Solution
The fourth proportional to 355,894,020,520.26, 491,174,491,461.78 and 199,506,451,182.99 is: 275,341,742,353.24
Step by Step Solution
- Step 1: Write the proportion equation
355,894,020,520.26 : 491,174,491,461.78 = 199,506,451,182.99 : x - Step 2: Convert to fraction form
355,894,020,520.26/491,174,491,461.78 = 199,506,451,182.99/x - Step 3: Cross multiply
355,894,020,520.26x = 491,174,491,461.78 × 199,506,451,182.99 - Step 4: Simplify right side
355,894,020,520.26x = 97,992,479,703,149,555,220,480 - Step 5: Solve for x
x = 97,992,479,703,149,555,220,480/355,894,020,520.26 - Step 6: Final answer
x = 275,341,742,353.24
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.