Finding the Fourth Proportional to 705,072.96, 1,057,246.56 and 284,235.84
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Solution
The fourth proportional to 705,072.96, 1,057,246.56 and 284,235.84 is: 426,207.47
Step by Step Solution
- Step 1: Write the proportion equation
705,072.96 : 1,057,246.56 = 284,235.84 : x - Step 2: Convert to fraction form
705,072.96/1,057,246.56 = 284,235.84/x - Step 3: Cross multiply
705,072.96x = 1,057,246.56 × 284,235.84 - Step 4: Simplify right side
705,072.96x = 300,507,364,068.71 - Step 5: Solve for x
x = 300,507,364,068.71/705,072.96 - Step 6: Final answer
x = 426,207.47
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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.