Finding the Fourth Proportional to 841,498,096.20, 1,161,245,096.84 and 470,223,178.44
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Solution
The fourth proportional to 841,498,096.20, 1,161,245,096.84 and 470,223,178.44 is: 648,895,538.62
Step by Step Solution
- Step 1: Write the proportion equation
841,498,096.20 : 1,161,245,096.84 = 470,223,178.44 : x - Step 2: Convert to fraction form
841,498,096.20/1,161,245,096.84 = 470,223,178.44/x - Step 3: Cross multiply
841,498,096.20x = 1,161,245,096.84 × 470,223,178.44 - Step 4: Simplify right side
841,498,096.20x = 546,044,360,383,970,368 - Step 5: Solve for x
x = 546,044,360,383,970,368/841,498,096.20 - Step 6: Final answer
x = 648,895,538.62
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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.