Finding the Fourth Proportional to 284,746.38, 392,958.20 and 157,430.17
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Solution
The fourth proportional to 284,746.38, 392,958.20 and 157,430.17 is: 217,258.17
Step by Step Solution
- Step 1: Write the proportion equation
284,746.38 : 392,958.20 = 157,430.17 : x - Step 2: Convert to fraction form
284,746.38/392,958.20 = 157,430.17/x - Step 3: Cross multiply
284,746.38x = 392,958.20 × 157,430.17 - Step 4: Simplify right side
284,746.38x = 61,863,476,228.89 - Step 5: Solve for x
x = 61,863,476,228.89/284,746.38 - Step 6: Final answer
x = 217,258.17
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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.