Finding the Fourth Proportional to 419,454.08, 578,973.12 and 285,395.84
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Solution
The fourth proportional to 419,454.08, 578,973.12 and 285,395.84 is: 393,932.32
Step by Step Solution
- Step 1: Write the proportion equation
419,454.08 : 578,973.12 = 285,395.84 : x - Step 2: Convert to fraction form
419,454.08/578,973.12 = 285,395.84/x - Step 3: Cross multiply
419,454.08x = 578,973.12 × 285,395.84 - Step 4: Simplify right side
419,454.08x = 165,236,519,919.82 - Step 5: Solve for x
x = 165,236,519,919.82/419,454.08 - Step 6: Final answer
x = 393,932.32
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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.