Finding the Fourth Proportional to 1,351,224,775.49, 2,026,445,668.35 and 405,784,719.23
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Solution
The fourth proportional to 1,351,224,775.49, 2,026,445,668.35 and 405,784,719.23 is: 608,559,509.48
Step by Step Solution
- Step 1: Write the proportion equation
1,351,224,775.49 : 2,026,445,668.35 = 405,784,719.23 : x - Step 2: Convert to fraction form
1,351,224,775.49/2,026,445,668.35 = 405,784,719.23/x - Step 3: Cross multiply
1,351,224,775.49x = 2,026,445,668.35 × 405,784,719.23 - Step 4: Simplify right side
1,351,224,775.49x = 822,300,686,566,254,464 - Step 5: Solve for x
x = 822,300,686,566,254,464/1,351,224,775.49 - Step 6: Final answer
x = 608,559,509.48
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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.