Finding the Fourth Proportional to 498,713.94, 749,178.09 and 309,314.28
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Solution
The fourth proportional to 498,713.94, 749,178.09 and 309,314.28 is: 464,658.12
Step by Step Solution
- Step 1: Write the proportion equation
498,713.94 : 749,178.09 = 309,314.28 : x - Step 2: Convert to fraction form
498,713.94/749,178.09 = 309,314.28/x - Step 3: Cross multiply
498,713.94x = 749,178.09 × 309,314.28 - Step 4: Simplify right side
498,713.94x = 231,731,481,500.13 - Step 5: Solve for x
x = 231,731,481,500.13/498,713.94 - Step 6: Final answer
x = 464,658.12
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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.