Finding the Fourth Proportional to 291,952.81, 402,825.94 and 164,603.80
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Solution
The fourth proportional to 291,952.81, 402,825.94 and 164,603.80 is: 227,114.38
Step by Step Solution
- Step 1: Write the proportion equation
291,952.81 : 402,825.94 = 164,603.80 : x - Step 2: Convert to fraction form
291,952.81/402,825.94 = 164,603.80/x - Step 3: Cross multiply
291,952.81x = 402,825.94 × 164,603.80 - Step 4: Simplify right side
291,952.81x = 66,306,680,462.57 - Step 5: Solve for x
x = 66,306,680,462.57/291,952.81 - Step 6: Final answer
x = 227,114.38
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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.