Finding the Fourth Proportional to 684,648.24, 1,027,215.68 and 305,534.48
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Solution
The fourth proportional to 684,648.24, 1,027,215.68 and 305,534.48 is: 458,410.31
Step by Step Solution
- Step 1: Write the proportion equation
684,648.24 : 1,027,215.68 = 305,534.48 : x - Step 2: Convert to fraction form
684,648.24/1,027,215.68 = 305,534.48/x - Step 3: Cross multiply
684,648.24x = 1,027,215.68 × 305,534.48 - Step 4: Simplify right side
684,648.24x = 313,849,808,636.65 - Step 5: Solve for x
x = 313,849,808,636.65/684,648.24 - Step 6: Final answer
x = 458,410.31
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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.