Finding the Fourth Proportional to 320,373,938,914.38, 442,116,362,898.95 and 173,886,430,520.05
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Solution
The fourth proportional to 320,373,938,914.38, 442,116,362,898.95 and 173,886,430,520.05 is: 239,963,451,707.45
Step by Step Solution
- Step 1: Write the proportion equation
320,373,938,914.38 : 442,116,362,898.95 = 173,886,430,520.05 : x - Step 2: Convert to fraction form
320,373,938,914.38/442,116,362,898.95 = 173,886,430,520.05/x - Step 3: Cross multiply
320,373,938,914.38x = 442,116,362,898.95 × 173,886,430,520.05 - Step 4: Simplify right side
320,373,938,914.38x = 76,878,036,219,005,476,274,176 - Step 5: Solve for x
x = 76,878,036,219,005,476,274,176/320,373,938,914.38 - Step 6: Final answer
x = 239,963,451,707.45
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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.