Finding the Fourth Proportional to 460,248,352.79, 635,142,702.56 and 248,555,163.02
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Solution
The fourth proportional to 460,248,352.79, 635,142,702.56 and 248,555,163.02 is: 343,006,111.85
Step by Step Solution
- Step 1: Write the proportion equation
460,248,352.79 : 635,142,702.56 = 248,555,163.02 : x - Step 2: Convert to fraction form
460,248,352.79/635,142,702.56 = 248,555,163.02/x - Step 3: Cross multiply
460,248,352.79x = 635,142,702.56 × 248,555,163.02 - Step 4: Simplify right side
460,248,352.79x = 157,867,997,975,764,160 - Step 5: Solve for x
x = 157,867,997,975,764,160/460,248,352.79 - Step 6: Final answer
x = 343,006,111.85
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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.