Finding the Fourth Proportional to 379,133,124,227.20, 523,203,585,149.36 and 207,851,378,203.72
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Solution
The fourth proportional to 379,133,124,227.20, 523,203,585,149.36 and 207,851,378,203.72 is: 286,834,832,688.62
Step by Step Solution
- Step 1: Write the proportion equation
379,133,124,227.20 : 523,203,585,149.36 = 207,851,378,203.72 : x - Step 2: Convert to fraction form
379,133,124,227.20/523,203,585,149.36 = 207,851,378,203.72/x - Step 3: Cross multiply
379,133,124,227.20x = 523,203,585,149.36 × 207,851,378,203.72 - Step 4: Simplify right side
379,133,124,227.20x = 108,748,586,254,421,849,014,272 - Step 5: Solve for x
x = 108,748,586,254,421,849,014,272/379,133,124,227.20 - Step 6: Final answer
x = 286,834,832,688.62
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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.