Finding the Fourth Proportional to 231,278,913.23, 319,236,368.13 and 148,772,697.98
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Solution
The fourth proportional to 231,278,913.23, 319,236,368.13 and 148,772,697.98 is: 205,352,295.70
Step by Step Solution
- Step 1: Write the proportion equation
231,278,913.23 : 319,236,368.13 = 148,772,697.98 : x - Step 2: Convert to fraction form
231,278,913.23/319,236,368.13 = 148,772,697.98/x - Step 3: Cross multiply
231,278,913.23x = 319,236,368.13 × 148,772,697.98 - Step 4: Simplify right side
231,278,913.23x = 47,493,655,778,440,400 - Step 5: Solve for x
x = 47,493,655,778,440,400/231,278,913.23 - Step 6: Final answer
x = 205,352,295.70
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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.