Finding the Fourth Proportional to 296,128.98, 408,656.75 and 160,163.06
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Solution
The fourth proportional to 296,128.98, 408,656.75 and 160,163.06 is: 221,024.34
Step by Step Solution
- Step 1: Write the proportion equation
296,128.98 : 408,656.75 = 160,163.06 : x - Step 2: Convert to fraction form
296,128.98/408,656.75 = 160,163.06/x - Step 3: Cross multiply
296,128.98x = 408,656.75 × 160,163.06 - Step 4: Simplify right side
296,128.98x = 65,451,712,725.56 - Step 5: Solve for x
x = 65,451,712,725.56/296,128.98 - Step 6: Final answer
x = 221,024.34
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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.