Finding the Fourth Proportional to 843,208,629.28, 1,163,664,271.98 and 466,865,224.20
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Solution
The fourth proportional to 843,208,629.28, 1,163,664,271.98 and 466,865,224.20 is: 644,294,143.07
Step by Step Solution
- Step 1: Write the proportion equation
843,208,629.28 : 1,163,664,271.98 = 466,865,224.20 : x - Step 2: Convert to fraction form
843,208,629.28/1,163,664,271.98 = 466,865,224.20/x - Step 3: Cross multiply
843,208,629.28x = 1,163,664,271.98 × 466,865,224.20 - Step 4: Simplify right side
843,208,629.28x = 543,274,381,231,472,448 - Step 5: Solve for x
x = 543,274,381,231,472,448/843,208,629.28 - Step 6: Final answer
x = 644,294,143.07
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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.