Finding the Fourth Proportional to 257,270.49, 385,905.87 and 107,429.13
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Solution
The fourth proportional to 257,270.49, 385,905.87 and 107,429.13 is: 161,143.75
Step by Step Solution
- Step 1: Write the proportion equation
257,270.49 : 385,905.87 = 107,429.13 : x - Step 2: Convert to fraction form
257,270.49/385,905.87 = 107,429.13/x - Step 3: Cross multiply
257,270.49x = 385,905.87 × 107,429.13 - Step 4: Simplify right side
257,270.49x = 41,457,531,875.99 - Step 5: Solve for x
x = 41,457,531,875.99/257,270.49 - Step 6: Final answer
x = 161,143.75
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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.