Finding the Fourth Proportional to 784,123.98, 1,081,692.12 and 512,350.75
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Solution
The fourth proportional to 784,123.98, 1,081,692.12 and 512,350.75 is: 706,783.34
Step by Step Solution
- Step 1: Write the proportion equation
784,123.98 : 1,081,692.12 = 512,350.75 : x - Step 2: Convert to fraction form
784,123.98/1,081,692.12 = 512,350.75/x - Step 3: Cross multiply
784,123.98x = 1,081,692.12 × 512,350.75 - Step 4: Simplify right side
784,123.98x = 554,205,768,951.09 - Step 5: Solve for x
x = 554,205,768,951.09/784,123.98 - Step 6: Final answer
x = 706,783.34
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Double scale
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1.5x scale
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.