Finding the Fourth Proportional to 305,439,556,701.84, 421,519,652,342.64 and 170,108,715,437.52
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Solution
The fourth proportional to 305,439,556,701.84, 421,519,652,342.64 and 170,108,715,437.52 is: 234,757,303,100.96
Step by Step Solution
- Step 1: Write the proportion equation
305,439,556,701.84 : 421,519,652,342.64 = 170,108,715,437.52 : x - Step 2: Convert to fraction form
305,439,556,701.84/421,519,652,342.64 = 170,108,715,437.52/x - Step 3: Cross multiply
305,439,556,701.84x = 421,519,652,342.64 × 170,108,715,437.52 - Step 4: Simplify right side
305,439,556,701.84x = 71,704,166,591,676,505,128,960 - Step 5: Solve for x
x = 71,704,166,591,676,505,128,960/305,439,556,701.84 - Step 6: Final answer
x = 234,757,303,100.96
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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.