Finding the Fourth Proportional to 415,083,692.84, 572,816,650.61 and 226,914,260.49
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Solution
The fourth proportional to 415,083,692.84, 572,816,650.61 and 226,914,260.49 is: 313,142,310.61
Step by Step Solution
- Step 1: Write the proportion equation
415,083,692.84 : 572,816,650.61 = 226,914,260.49 : x - Step 2: Convert to fraction form
415,083,692.84/572,816,650.61 = 226,914,260.49/x - Step 3: Cross multiply
415,083,692.84x = 572,816,650.61 × 226,914,260.49 - Step 4: Simplify right side
415,083,692.84x = 129,980,266,670,094,144 - Step 5: Solve for x
x = 129,980,266,670,094,144/415,083,692.84 - Step 6: Final answer
x = 313,142,310.61
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.