Finding the Fourth Proportional to 257,214.26, 355,129.02 and 160,565.30
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Solution
The fourth proportional to 257,214.26, 355,129.02 and 160,565.30 is: 221,688.32
Step by Step Solution
- Step 1: Write the proportion equation
257,214.26 : 355,129.02 = 160,565.30 : x - Step 2: Convert to fraction form
257,214.26/355,129.02 = 160,565.30/x - Step 3: Cross multiply
257,214.26x = 355,129.02 × 160,565.30 - Step 4: Simplify right side
257,214.26x = 57,021,397,635.01 - Step 5: Solve for x
x = 57,021,397,635.01/257,214.26 - Step 6: Final answer
x = 221,688.32
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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.