Finding the Fourth Proportional to 413,709.36, 570,918.96 and 232,421.28
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Solution
The fourth proportional to 413,709.36, 570,918.96 and 232,421.28 is: 320,741.39
Step by Step Solution
- Step 1: Write the proportion equation
413,709.36 : 570,918.96 = 232,421.28 : x - Step 2: Convert to fraction form
413,709.36/570,918.96 = 232,421.28/x - Step 3: Cross multiply
413,709.36x = 570,918.96 × 232,421.28 - Step 4: Simplify right side
413,709.36x = 132,693,715,459.47 - Step 5: Solve for x
x = 132,693,715,459.47/413,709.36 - Step 6: Final answer
x = 320,741.39
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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.