Finding the Fourth Proportional to 409,415.10, 564,985.26 and 228,123.12
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Solution
The fourth proportional to 409,415.10, 564,985.26 and 228,123.12 is: 314,805.68
Step by Step Solution
- Step 1: Write the proportion equation
409,415.10 : 564,985.26 = 228,123.12 : x - Step 2: Convert to fraction form
409,415.10/564,985.26 = 228,123.12/x - Step 3: Cross multiply
409,415.10x = 564,985.26 × 228,123.12 - Step 4: Simplify right side
409,415.10x = 128,886,200,265.21 - Step 5: Solve for x
x = 128,886,200,265.21/409,415.10 - Step 6: Final answer
x = 314,805.68
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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.