Finding the Fourth Proportional to 1,724,331,842.10, 2,586,497,763.15 and 998,737,730.10
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Solution
The fourth proportional to 1,724,331,842.10, 2,586,497,763.15 and 998,737,730.10 is: 1,498,106,595.15
Step by Step Solution
- Step 1: Write the proportion equation
1,724,331,842.10 : 2,586,497,763.15 = 998,737,730.10 : x - Step 2: Convert to fraction form
1,724,331,842.10/2,586,497,763.15 = 998,737,730.10/x - Step 3: Cross multiply
1,724,331,842.10x = 2,586,497,763.15 × 998,737,730.10 - Step 4: Simplify right side
1,724,331,842.10x = 2,583,232,904,877,158,400 - Step 5: Solve for x
x = 2,583,232,904,877,158,400/1,724,331,842.10 - Step 6: Final answer
x = 1,498,106,595.15
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1.5x scale
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.