Finding the Fourth Proportional to 420,497.44, 580,282.24 and 229,509.12
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Solution
The fourth proportional to 420,497.44, 580,282.24 and 229,509.12 is: 316,720.28
Step by Step Solution
- Step 1: Write the proportion equation
420,497.44 : 580,282.24 = 229,509.12 : x - Step 2: Convert to fraction form
420,497.44/580,282.24 = 229,509.12/x - Step 3: Cross multiply
420,497.44x = 580,282.24 × 229,509.12 - Step 4: Simplify right side
420,497.44x = 133,180,066,254.03 - Step 5: Solve for x
x = 133,180,066,254.03/420,497.44 - Step 6: Final answer
x = 316,720.28
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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.