Finding the Fourth Proportional to 286,742.08, 430,286.10 and 99,884.80
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Solution
The fourth proportional to 286,742.08, 430,286.10 and 99,884.80 is: 149,887.46
Step by Step Solution
- Step 1: Write the proportion equation
286,742.08 : 430,286.10 = 99,884.80 : x - Step 2: Convert to fraction form
286,742.08/430,286.10 = 99,884.80/x - Step 3: Cross multiply
286,742.08x = 430,286.10 × 99,884.80 - Step 4: Simplify right side
286,742.08x = 42,979,041,041.28 - Step 5: Solve for x
x = 42,979,041,041.28/286,742.08 - Step 6: Final answer
x = 149,887.46
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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.