Finding the Fourth Proportional to 213,397,800.52, 294,485,125.98 and 120,576,315.46
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Solution
The fourth proportional to 213,397,800.52, 294,485,125.98 and 120,576,315.46 is: 166,393,146.33
Step by Step Solution
- Step 1: Write the proportion equation
213,397,800.52 : 294,485,125.98 = 120,576,315.46 : x - Step 2: Convert to fraction form
213,397,800.52/294,485,125.98 = 120,576,315.46/x - Step 3: Cross multiply
213,397,800.52x = 294,485,125.98 × 120,576,315.46 - Step 4: Simplify right side
213,397,800.52x = 35,507,931,448,442,324 - Step 5: Solve for x
x = 35,507,931,448,442,324/213,397,800.52 - Step 6: Final answer
x = 166,393,146.33
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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.