Finding the Fourth Proportional to 1,029,519,133.47, 1,420,737,319.68 and 559,620,454.43
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Solution
The fourth proportional to 1,029,519,133.47, 1,420,737,319.68 and 559,620,454.43 is: 772,276,724.75
Step by Step Solution
- Step 1: Write the proportion equation
1,029,519,133.47 : 1,420,737,319.68 = 559,620,454.43 : x - Step 2: Convert to fraction form
1,029,519,133.47/1,420,737,319.68 = 559,620,454.43/x - Step 3: Cross multiply
1,029,519,133.47x = 1,420,737,319.68 × 559,620,454.43 - Step 4: Simplify right side
1,029,519,133.47x = 795,073,664,464,981,760 - Step 5: Solve for x
x = 795,073,664,464,981,760/1,029,519,133.47 - Step 6: Final answer
x = 772,276,724.75
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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.