Finding the Fourth Proportional to 513,027.64, 707,977.02 and 286,673.14
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Solution
The fourth proportional to 513,027.64, 707,977.02 and 286,673.14 is: 395,608.31
Step by Step Solution
- Step 1: Write the proportion equation
513,027.64 : 707,977.02 = 286,673.14 : x - Step 2: Convert to fraction form
513,027.64/707,977.02 = 286,673.14/x - Step 3: Cross multiply
513,027.64x = 707,977.02 × 286,673.14 - Step 4: Simplify right side
513,027.64x = 202,957,995,371.24 - Step 5: Solve for x
x = 202,957,995,371.24/513,027.64 - Step 6: Final answer
x = 395,608.31
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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.