Finding the Fourth Proportional to 288,292.64, 432,438.92 and 209,905.68
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Solution
The fourth proportional to 288,292.64, 432,438.92 and 209,905.68 is: 314,858.49
Step by Step Solution
- Step 1: Write the proportion equation
288,292.64 : 432,438.92 = 209,905.68 : x - Step 2: Convert to fraction form
288,292.64/432,438.92 = 209,905.68/x - Step 3: Cross multiply
288,292.64x = 432,438.92 × 209,905.68 - Step 4: Simplify right side
288,292.64x = 90,771,385,561.07 - Step 5: Solve for x
x = 90,771,385,561.07/288,292.64 - Step 6: Final answer
x = 314,858.49
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1.5x scale
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.