Finding the Fourth Proportional to 284,521.14, 392,605.71 and 157,189.14
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Solution
The fourth proportional to 284,521.14, 392,605.71 and 157,189.14 is: 216,902.53
Step by Step Solution
- Step 1: Write the proportion equation
284,521.14 : 392,605.71 = 157,189.14 : x - Step 2: Convert to fraction form
284,521.14/392,605.71 = 157,189.14/x - Step 3: Cross multiply
284,521.14x = 392,605.71 × 157,189.14 - Step 4: Simplify right side
284,521.14x = 61,713,353,913.99 - Step 5: Solve for x
x = 61,713,353,913.99/284,521.14 - Step 6: Final answer
x = 216,902.53
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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.