Finding the Fourth Proportional to 684,135.20, 1,026,202.80 and 284,643.20
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Solution
The fourth proportional to 684,135.20, 1,026,202.80 and 284,643.20 is: 426,964.80
Step by Step Solution
- Step 1: Write the proportion equation
684,135.20 : 1,026,202.80 = 284,643.20 : x - Step 2: Convert to fraction form
684,135.20/1,026,202.80 = 284,643.20/x - Step 3: Cross multiply
684,135.20x = 1,026,202.80 × 284,643.20 - Step 4: Simplify right side
684,135.20x = 292,101,648,840.96 - Step 5: Solve for x
x = 292,101,648,840.96/684,135.20 - Step 6: Final answer
x = 426,964.80
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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.