Finding the Fourth Proportional to 410,415.74, 566,383.26 and 257,460.38
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Solution
The fourth proportional to 410,415.74, 566,383.26 and 257,460.38 is: 355,301.31
Step by Step Solution
- Step 1: Write the proportion equation
410,415.74 : 566,383.26 = 257,460.38 : x - Step 2: Convert to fraction form
410,415.74/566,383.26 = 257,460.38/x - Step 3: Cross multiply
410,415.74x = 566,383.26 × 257,460.38 - Step 4: Simplify right side
410,415.74x = 145,821,249,345.24 - Step 5: Solve for x
x = 145,821,249,345.24/410,415.74 - Step 6: Final answer
x = 355,301.31
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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.