Finding the Fourth Proportional to 1,444,176,412.40, 1,992,971,403.96 and 784,126,690.40
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Solution
The fourth proportional to 1,444,176,412.40, 1,992,971,403.96 and 784,126,690.40 is: 1,082,099,151.90
Step by Step Solution
- Step 1: Write the proportion equation
1,444,176,412.40 : 1,992,971,403.96 = 784,126,690.40 : x - Step 2: Convert to fraction form
1,444,176,412.40/1,992,971,403.96 = 784,126,690.40/x - Step 3: Cross multiply
1,444,176,412.40x = 1,992,971,403.96 × 784,126,690.40 - Step 4: Simplify right side
1,444,176,412.40x = 1,562,742,071,048,996,352 - Step 5: Solve for x
x = 1,562,742,071,048,996,352/1,444,176,412.40 - Step 6: Final answer
x = 1,082,099,151.90
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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.