Finding the Fourth Proportional to 299,125,874.32, 412,862,581.20 and 175,406,409.52
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Solution
The fourth proportional to 299,125,874.32, 412,862,581.20 and 175,406,409.52 is: 242,101,232.99
Step by Step Solution
- Step 1: Write the proportion equation
299,125,874.32 : 412,862,581.20 = 175,406,409.52 : x - Step 2: Convert to fraction form
299,125,874.32/412,862,581.20 = 175,406,409.52/x - Step 3: Cross multiply
299,125,874.32x = 412,862,581.20 × 175,406,409.52 - Step 4: Simplify right side
299,125,874.32x = 72,418,742,993,451,456 - Step 5: Solve for x
x = 72,418,742,993,451,456/299,125,874.32 - Step 6: Final answer
x = 242,101,232.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.