Finding the Fourth Proportional to 314,058.12, 470,908.72 and 214,339.12
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Solution
The fourth proportional to 314,058.12, 470,908.72 and 214,339.12 is: 321,386.88
Step by Step Solution
- Step 1: Write the proportion equation
314,058.12 : 470,908.72 = 214,339.12 : x - Step 2: Convert to fraction form
314,058.12/470,908.72 = 214,339.12/x - Step 3: Cross multiply
314,058.12x = 470,908.72 × 214,339.12 - Step 4: Simplify right side
314,058.12x = 100,934,160,645.13 - Step 5: Solve for x
x = 100,934,160,645.13/314,058.12 - Step 6: Final answer
x = 321,386.88
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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.