Finding the Fourth Proportional to 493,155,193.08, 680,296,149.54 and 304,923,316.44
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Solution
The fourth proportional to 493,155,193.08, 680,296,149.54 and 304,923,316.44 is: 420,634,641.97
Step by Step Solution
- Step 1: Write the proportion equation
493,155,193.08 : 680,296,149.54 = 304,923,316.44 : x - Step 2: Convert to fraction form
493,155,193.08/680,296,149.54 = 304,923,316.44/x - Step 3: Cross multiply
493,155,193.08x = 680,296,149.54 × 304,923,316.44 - Step 4: Simplify right side
493,155,193.08x = 207,438,158,079,098,976 - Step 5: Solve for x
x = 207,438,158,079,098,976/493,155,193.08 - Step 6: Final answer
x = 420,634,641.97
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1.5x scale
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.