Finding the Fourth Proportional to 749,863.81, 1,034,812.13 and 410,332.09
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Solution
The fourth proportional to 749,863.81, 1,034,812.13 and 410,332.09 is: 566,258.32
Step by Step Solution
- Step 1: Write the proportion equation
749,863.81 : 1,034,812.13 = 410,332.09 : x - Step 2: Convert to fraction form
749,863.81/1,034,812.13 = 410,332.09/x - Step 3: Cross multiply
749,863.81x = 1,034,812.13 × 410,332.09 - Step 4: Simplify right side
749,863.81x = 424,616,622,008.59 - Step 5: Solve for x
x = 424,616,622,008.59/749,863.81 - Step 6: Final answer
x = 566,258.32
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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.