Finding the Fourth Proportional to 284,364,256.64, 392,424,125.29 and 158,918,546.26
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Solution
The fourth proportional to 284,364,256.64, 392,424,125.29 and 158,918,546.26 is: 219,308,404.81
Step by Step Solution
- Step 1: Write the proportion equation
284,364,256.64 : 392,424,125.29 = 158,918,546.26 : x - Step 2: Convert to fraction form
284,364,256.64/392,424,125.29 = 158,918,546.26/x - Step 3: Cross multiply
284,364,256.64x = 392,424,125.29 × 158,918,546.26 - Step 4: Simplify right side
284,364,256.64x = 62,363,471,507,644,312 - Step 5: Solve for x
x = 62,363,471,507,644,312/284,364,256.64 - Step 6: Final answer
x = 219,308,404.81
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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.