Finding the Fourth Proportional to 1,409,900,206.65, 2,114,920,556.76 and 536,569,261.03
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Solution
The fourth proportional to 1,409,900,206.65, 2,114,920,556.76 and 536,569,261.03 is: 804,880,625.54
Step by Step Solution
- Step 1: Write the proportion equation
1,409,900,206.65 : 2,114,920,556.76 = 536,569,261.03 : x - Step 2: Convert to fraction form
1,409,900,206.65/2,114,920,556.76 = 536,569,261.03/x - Step 3: Cross multiply
1,409,900,206.65x = 2,114,920,556.76 × 536,569,261.03 - Step 4: Simplify right side
1,409,900,206.65x = 1,134,801,360,274,620,928 - Step 5: Solve for x
x = 1,134,801,360,274,620,928/1,409,900,206.65 - Step 6: Final answer
x = 804,880,625.54
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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.