Finding the Fourth Proportional to 509,588.13, 764,474.13 and 209,905.14
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Solution
The fourth proportional to 509,588.13, 764,474.13 and 209,905.14 is: 314,895.58
Step by Step Solution
- Step 1: Write the proportion equation
509,588.13 : 764,474.13 = 209,905.14 : x - Step 2: Convert to fraction form
509,588.13/764,474.13 = 209,905.14/x - Step 3: Cross multiply
509,588.13x = 764,474.13 × 209,905.14 - Step 4: Simplify right side
509,588.13x = 160,467,049,284.03 - Step 5: Solve for x
x = 160,467,049,284.03/509,588.13 - Step 6: Final answer
x = 314,895.58
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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.