Finding the Fourth Proportional to 409,137.14, 564,568.84 and 227,865.94
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Solution
The fourth proportional to 409,137.14, 564,568.84 and 227,865.94 is: 314,432.49
Step by Step Solution
- Step 1: Write the proportion equation
409,137.14 : 564,568.84 = 227,865.94 : x - Step 2: Convert to fraction form
409,137.14/564,568.84 = 227,865.94/x - Step 3: Cross multiply
409,137.14x = 564,568.84 × 227,865.94 - Step 4: Simplify right side
409,137.14x = 128,646,009,421.31 - Step 5: Solve for x
x = 128,646,009,421.31/409,137.14 - Step 6: Final answer
x = 314,432.49
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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.