Finding the Fourth Proportional to 408,002.42, 563,032.16 and 226,709.68
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Solution
The fourth proportional to 408,002.42, 563,032.16 and 226,709.68 is: 312,853.15
Step by Step Solution
- Step 1: Write the proportion equation
408,002.42 : 563,032.16 = 226,709.68 : x - Step 2: Convert to fraction form
408,002.42/563,032.16 = 226,709.68/x - Step 3: Cross multiply
408,002.42x = 563,032.16 × 226,709.68 - Step 4: Simplify right side
408,002.42x = 127,644,840,823.31 - Step 5: Solve for x
x = 127,644,840,823.31/408,002.42 - Step 6: Final answer
x = 312,853.15
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1.5x scale
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.