Finding the Fourth Proportional to 1,683,033,278.80, 2,524,549,918.20 and 456,201,730.30
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Solution
The fourth proportional to 1,683,033,278.80, 2,524,549,918.20 and 456,201,730.30 is: 684,302,595.45
Step by Step Solution
- Step 1: Write the proportion equation
1,683,033,278.80 : 2,524,549,918.20 = 456,201,730.30 : x - Step 2: Convert to fraction form
1,683,033,278.80/2,524,549,918.20 = 456,201,730.30/x - Step 3: Cross multiply
1,683,033,278.80x = 2,524,549,918.20 × 456,201,730.30 - Step 4: Simplify right side
1,683,033,278.80x = 1,151,704,040,911,563,392 - Step 5: Solve for x
x = 1,151,704,040,911,563,392/1,683,033,278.80 - Step 6: Final answer
x = 684,302,595.45
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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.