Finding the Fourth Proportional to 749,099.82, 1,033,762.08 and 409,568.08
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Solution
The fourth proportional to 749,099.82, 1,033,762.08 and 409,568.08 is: 565,206.32
Step by Step Solution
- Step 1: Write the proportion equation
749,099.82 : 1,033,762.08 = 409,568.08 : x - Step 2: Convert to fraction form
749,099.82/1,033,762.08 = 409,568.08/x - Step 3: Cross multiply
749,099.82x = 1,033,762.08 × 409,568.08 - Step 4: Simplify right side
749,099.82x = 423,395,950,282.41 - Step 5: Solve for x
x = 423,395,950,282.41/749,099.82 - Step 6: Final answer
x = 565,206.32
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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.