Finding the Fourth Proportional to 205,160,199.98, 283,163,834.61 and 188,614,116.14
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Solution
The fourth proportional to 205,160,199.98, 283,163,834.61 and 188,614,116.14 is: 260,326,790.44
Step by Step Solution
- Step 1: Write the proportion equation
205,160,199.98 : 283,163,834.61 = 188,614,116.14 : x - Step 2: Convert to fraction form
205,160,199.98/283,163,834.61 = 188,614,116.14/x - Step 3: Cross multiply
205,160,199.98x = 283,163,834.61 × 188,614,116.14 - Step 4: Simplify right side
205,160,199.98x = 53,408,696,386,362,472 - Step 5: Solve for x
x = 53,408,696,386,362,472/205,160,199.98 - Step 6: Final answer
x = 260,326,790.44
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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.