Finding the Fourth Proportional to 252,176,565.20, 378,264,847.80 and 137,385,309.20
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Solution
The fourth proportional to 252,176,565.20, 378,264,847.80 and 137,385,309.20 is: 206,077,963.80
Step by Step Solution
- Step 1: Write the proportion equation
252,176,565.20 : 378,264,847.80 = 137,385,309.20 : x - Step 2: Convert to fraction form
252,176,565.20/378,264,847.80 = 137,385,309.20/x - Step 3: Cross multiply
252,176,565.20x = 378,264,847.80 × 137,385,309.20 - Step 4: Simplify right side
252,176,565.20x = 51,968,033,074,493,936 - Step 5: Solve for x
x = 51,968,033,074,493,936/252,176,565.20 - Step 6: Final answer
x = 206,077,963.80
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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.