Finding the Fourth Proportional to 517,161,149.82, 713,697,459.71 and 282,226,943.70
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Solution
The fourth proportional to 517,161,149.82, 713,697,459.71 and 282,226,943.70 is: 389,481,407.97
Step by Step Solution
- Step 1: Write the proportion equation
517,161,149.82 : 713,697,459.71 = 282,226,943.70 : x - Step 2: Convert to fraction form
517,161,149.82/713,697,459.71 = 282,226,943.70/x - Step 3: Cross multiply
517,161,149.82x = 713,697,459.71 × 282,226,943.70 - Step 4: Simplify right side
517,161,149.82x = 201,424,652,778,996,064 - Step 5: Solve for x
x = 201,424,652,778,996,064/517,161,149.82 - Step 6: Final answer
x = 389,481,407.97
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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.