Finding the Fourth Proportional to 1,683,778,489.76, 2,323,629,350.68 and 931,142,592.96
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Solution
The fourth proportional to 1,683,778,489.76, 2,323,629,350.68 and 931,142,592.96 is: 1,284,985,092.65
Step by Step Solution
- Step 1: Write the proportion equation
1,683,778,489.76 : 2,323,629,350.68 = 931,142,592.96 : x - Step 2: Convert to fraction form
1,683,778,489.76/2,323,629,350.68 = 931,142,592.96/x - Step 3: Cross multiply
1,683,778,489.76x = 2,323,629,350.68 × 931,142,592.96 - Step 4: Simplify right side
1,683,778,489.76x = 2,163,630,258,670,136,320 - Step 5: Solve for x
x = 2,163,630,258,670,136,320/1,683,778,489.76 - Step 6: Final answer
x = 1,284,985,092.65
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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.