Finding the Fourth Proportional to 512,202.30, 706,509.27 and 310,998.30
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Solution
The fourth proportional to 512,202.30, 706,509.27 and 310,998.30 is: 428,977.34
Step by Step Solution
- Step 1: Write the proportion equation
512,202.30 : 706,509.27 = 310,998.30 : x - Step 2: Convert to fraction form
512,202.30/706,509.27 = 310,998.30/x - Step 3: Cross multiply
512,202.30x = 706,509.27 × 310,998.30 - Step 4: Simplify right side
512,202.30x = 219,723,181,904.24 - Step 5: Solve for x
x = 219,723,181,904.24/512,202.30 - Step 6: Final answer
x = 428,977.34
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.