Finding the Fourth Proportional to 784,219,125.80, 1,082,248,954.50 and 427,000,756.38
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Solution
The fourth proportional to 784,219,125.80, 1,082,248,954.50 and 427,000,756.38 is: 589,275,505.99
Step by Step Solution
- Step 1: Write the proportion equation
784,219,125.80 : 1,082,248,954.50 = 427,000,756.38 : x - Step 2: Convert to fraction form
784,219,125.80/1,082,248,954.50 = 427,000,756.38/x - Step 3: Cross multiply
784,219,125.80x = 1,082,248,954.50 × 427,000,756.38 - Step 4: Simplify right side
784,219,125.80x = 462,121,122,162,964,224 - Step 5: Solve for x
x = 462,121,122,162,964,224/784,219,125.80 - Step 6: Final answer
x = 589,275,505.99
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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.