Finding the Fourth Proportional to 423,209.20, 584,005.26 and 232,207.42
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Solution
The fourth proportional to 423,209.20, 584,005.26 and 232,207.42 is: 320,433.38
Step by Step Solution
- Step 1: Write the proportion equation
423,209.20 : 584,005.26 = 232,207.42 : x - Step 2: Convert to fraction form
423,209.20/584,005.26 = 232,207.42/x - Step 3: Cross multiply
423,209.20x = 584,005.26 × 232,207.42 - Step 4: Simplify right side
423,209.20x = 135,610,354,691.03 - Step 5: Solve for x
x = 135,610,354,691.03/423,209.20 - Step 6: Final answer
x = 320,433.38
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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.