Finding the Fourth Proportional to 491,970,463.56, 678,927,310.02 and 293,749,278.12
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Solution
The fourth proportional to 491,970,463.56, 678,927,310.02 and 293,749,278.12 is: 405,378,822.48
Step by Step Solution
- Step 1: Write the proportion equation
491,970,463.56 : 678,927,310.02 = 293,749,278.12 : x - Step 2: Convert to fraction form
491,970,463.56/678,927,310.02 = 293,749,278.12/x - Step 3: Cross multiply
491,970,463.56x = 678,927,310.02 × 293,749,278.12 - Step 4: Simplify right side
491,970,463.56x = 199,434,407,214,328,448 - Step 5: Solve for x
x = 199,434,407,214,328,448/491,970,463.56 - Step 6: Final answer
x = 405,378,822.48
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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.