Finding the Fourth Proportional to 310,497.21, 465,745.80 and 100,135.14
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Solution
The fourth proportional to 310,497.21, 465,745.80 and 100,135.14 is: 150,202.71
Step by Step Solution
- Step 1: Write the proportion equation
310,497.21 : 465,745.80 = 100,135.14 : x - Step 2: Convert to fraction form
310,497.21/465,745.80 = 100,135.14/x - Step 3: Cross multiply
310,497.21x = 465,745.80 × 100,135.14 - Step 4: Simplify right side
310,497.21x = 46,637,520,887.41 - Step 5: Solve for x
x = 46,637,520,887.41/310,497.21 - Step 6: Final answer
x = 150,202.71
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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.