Finding the Fourth Proportional to 2,106,154,102.80, 3,159,231,154.20 and 1,017,762,934.80
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Solution
The fourth proportional to 2,106,154,102.80, 3,159,231,154.20 and 1,017,762,934.80 is: 1,526,644,402.20
Step by Step Solution
- Step 1: Write the proportion equation
2,106,154,102.80 : 3,159,231,154.20 = 1,017,762,934.80 : x - Step 2: Convert to fraction form
2,106,154,102.80/3,159,231,154.20 = 1,017,762,934.80/x - Step 3: Cross multiply
2,106,154,102.80x = 3,159,231,154.20 × 1,017,762,934.80 - Step 4: Simplify right side
2,106,154,102.80x = 3,215,348,371,210,183,168 - Step 5: Solve for x
x = 3,215,348,371,210,183,168/2,106,154,102.80 - Step 6: Final answer
x = 1,526,644,402.20
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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.