Finding the Fourth Proportional to 205,963,120.58, 283,958,644.97 and 148,628,701.35
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Solution
The fourth proportional to 205,963,120.58, 283,958,644.97 and 148,628,701.35 is: 204,912,435.40
Step by Step Solution
- Step 1: Write the proportion equation
205,963,120.58 : 283,958,644.97 = 148,628,701.35 : x - Step 2: Convert to fraction form
205,963,120.58/283,958,644.97 = 148,628,701.35/x - Step 3: Cross multiply
205,963,120.58x = 283,958,644.97 × 148,628,701.35 - Step 4: Simplify right side
205,963,120.58x = 42,204,404,639,368,384 - Step 5: Solve for x
x = 42,204,404,639,368,384/205,963,120.58 - Step 6: Final answer
x = 204,912,435.40
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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.