Finding the Fourth Proportional to 746,009.93, 1,029,493.86 and 406,478.18
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Solution
The fourth proportional to 746,009.93, 1,029,493.86 and 406,478.18 is: 560,939.97
Step by Step Solution
- Step 1: Write the proportion equation
746,009.93 : 1,029,493.86 = 406,478.18 : x - Step 2: Convert to fraction form
746,009.93/1,029,493.86 = 406,478.18/x - Step 3: Cross multiply
746,009.93x = 1,029,493.86 × 406,478.18 - Step 4: Simplify right side
746,009.93x = 418,466,790,533.98 - Step 5: Solve for x
x = 418,466,790,533.98/746,009.93 - Step 6: Final answer
x = 560,939.97
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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.