Finding the Fourth Proportional to 363,823,488,143.10, 545,735,232,214.65 and 128,193,518,735.10
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Solution
The fourth proportional to 363,823,488,143.10, 545,735,232,214.65 and 128,193,518,735.10 is: 192,290,278,102.65
Step by Step Solution
- Step 1: Write the proportion equation
363,823,488,143.10 : 545,735,232,214.65 = 128,193,518,735.10 : x - Step 2: Convert to fraction form
363,823,488,143.10/545,735,232,214.65 = 128,193,518,735.10/x - Step 3: Cross multiply
363,823,488,143.10x = 545,735,232,214.65 × 128,193,518,735.10 - Step 4: Simplify right side
363,823,488,143.10x = 69,959,719,715,312,890,806,272 - Step 5: Solve for x
x = 69,959,719,715,312,890,806,272/363,823,488,143.10 - Step 6: Final answer
x = 192,290,278,102.65
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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.