Finding the Fourth Proportional to 678,298,488.14, 1,017,206,950.76 and 199,014,571.63
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Solution
The fourth proportional to 678,298,488.14, 1,017,206,950.76 and 199,014,571.63 is: 298,451,211.53
Step by Step Solution
- Step 1: Write the proportion equation
678,298,488.14 : 1,017,206,950.76 = 199,014,571.63 : x - Step 2: Convert to fraction form
678,298,488.14/1,017,206,950.76 = 199,014,571.63/x - Step 3: Cross multiply
678,298,488.14x = 1,017,206,950.76 × 199,014,571.63 - Step 4: Simplify right side
678,298,488.14x = 202,439,005,559,473,856 - Step 5: Solve for x
x = 202,439,005,559,473,856/678,298,488.14 - Step 6: Final answer
x = 298,451,211.53
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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.