Finding the Fourth Proportional to 1,415,211,114.24, 1,952,905,424.64 and 780,103,772.16
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Solution
The fourth proportional to 1,415,211,114.24, 1,952,905,424.64 and 780,103,772.16 is: 1,076,495,847.94
Step by Step Solution
- Step 1: Write the proportion equation
1,415,211,114.24 : 1,952,905,424.64 = 780,103,772.16 : x - Step 2: Convert to fraction form
1,415,211,114.24/1,952,905,424.64 = 780,103,772.16/x - Step 3: Cross multiply
1,415,211,114.24x = 1,952,905,424.64 × 780,103,772.16 - Step 4: Simplify right side
1,415,211,114.24x = 1,523,468,888,433,390,592 - Step 5: Solve for x
x = 1,523,468,888,433,390,592/1,415,211,114.24 - Step 6: Final answer
x = 1,076,495,847.94
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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.