Finding the Fourth Proportional to 841,498,372.96, 1,161,245,478.66 and 470,223,455.20
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Solution
The fourth proportional to 841,498,372.96, 1,161,245,478.66 and 470,223,455.20 is: 648,895,920.49
Step by Step Solution
- Step 1: Write the proportion equation
841,498,372.96 : 1,161,245,478.66 = 470,223,455.20 : x - Step 2: Convert to fraction form
841,498,372.96/1,161,245,478.66 = 470,223,455.20/x - Step 3: Cross multiply
841,498,372.96x = 1,161,245,478.66 × 470,223,455.20 - Step 4: Simplify right side
841,498,372.96x = 546,044,861,310,883,072 - Step 5: Solve for x
x = 546,044,861,310,883,072/841,498,372.96 - Step 6: Final answer
x = 648,895,920.49
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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.