Finding the Fourth Proportional to 409,435.14, 565,014.70 and 228,154.70
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Solution
The fourth proportional to 409,435.14, 565,014.70 and 228,154.70 is: 314,850.26
Step by Step Solution
- Step 1: Write the proportion equation
409,435.14 : 565,014.70 = 228,154.70 : x - Step 2: Convert to fraction form
409,435.14/565,014.70 = 228,154.70/x - Step 3: Cross multiply
409,435.14x = 565,014.70 × 228,154.70 - Step 4: Simplify right side
409,435.14x = 128,910,759,374.09 - Step 5: Solve for x
x = 128,910,759,374.09/409,435.14 - Step 6: Final answer
x = 314,850.26
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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.