Finding the Fourth Proportional to 512,277.14, 706,939.12 and 282,848.69
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Solution
The fourth proportional to 512,277.14, 706,939.12 and 282,848.69 is: 390,329.35
Step by Step Solution
- Step 1: Write the proportion equation
512,277.14 : 706,939.12 = 282,848.69 : x - Step 2: Convert to fraction form
512,277.14/706,939.12 = 282,848.69/x - Step 3: Cross multiply
512,277.14x = 706,939.12 × 282,848.69 - Step 4: Simplify right side
512,277.14x = 199,956,804,001.75 - Step 5: Solve for x
x = 199,956,804,001.75/512,277.14 - Step 6: Final answer
x = 390,329.35
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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.