Finding the Fourth Proportional to 1,440,435,162.26, 1,987,774,612.44 and 813,890,138.10
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Solution
The fourth proportional to 1,440,435,162.26, 1,987,774,612.44 and 813,890,138.10 is: 1,123,153,749.80
Step by Step Solution
- Step 1: Write the proportion equation
1,440,435,162.26 : 1,987,774,612.44 = 813,890,138.10 : x - Step 2: Convert to fraction form
1,440,435,162.26/1,987,774,612.44 = 813,890,138.10/x - Step 3: Cross multiply
1,440,435,162.26x = 1,987,774,612.44 × 813,890,138.10 - Step 4: Simplify right side
1,440,435,162.26x = 1,617,830,153,830,465,792 - Step 5: Solve for x
x = 1,617,830,153,830,465,792/1,440,435,162.26 - Step 6: Final answer
x = 1,123,153,749.80
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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.