Finding the Fourth Proportional to 315,872,563,783.52, 473,792,158,407.84 and 103,608,736,122.08
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Solution
The fourth proportional to 315,872,563,783.52, 473,792,158,407.84 and 103,608,736,122.08 is: 155,407,630,625.47
Step by Step Solution
- Step 1: Write the proportion equation
315,872,563,783.52 : 473,792,158,407.84 = 103,608,736,122.08 : x - Step 2: Convert to fraction form
315,872,563,783.52/473,792,158,407.84 = 103,608,736,122.08/x - Step 3: Cross multiply
315,872,563,783.52x = 473,792,158,407.84 × 103,608,736,122.08 - Step 4: Simplify right side
315,872,563,783.52x = 49,089,006,717,188,628,807,680 - Step 5: Solve for x
x = 49,089,006,717,188,628,807,680/315,872,563,783.52 - Step 6: Final answer
x = 155,407,630,625.47
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.