Finding the Fourth Proportional to 313,913.42, 471,166.05 and 114,426.62
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Solution
The fourth proportional to 313,913.42, 471,166.05 and 114,426.62 is: 171,747.80
Step by Step Solution
- Step 1: Write the proportion equation
313,913.42 : 471,166.05 = 114,426.62 : x - Step 2: Convert to fraction form
313,913.42/471,166.05 = 114,426.62/x - Step 3: Cross multiply
313,913.42x = 471,166.05 × 114,426.62 - Step 4: Simplify right side
313,913.42x = 53,913,938,560.25 - Step 5: Solve for x
x = 53,913,938,560.25/313,913.42 - Step 6: Final answer
x = 171,747.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.