Finding the Fourth Proportional to 944,784,822.20, 1,417,177,233.30 and 289,730,645.60
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Solution
The fourth proportional to 944,784,822.20, 1,417,177,233.30 and 289,730,645.60 is: 434,595,968.40
Step by Step Solution
- Step 1: Write the proportion equation
944,784,822.20 : 1,417,177,233.30 = 289,730,645.60 : x - Step 2: Convert to fraction form
944,784,822.20/1,417,177,233.30 = 289,730,645.60/x - Step 3: Cross multiply
944,784,822.20x = 1,417,177,233.30 × 289,730,645.60 - Step 4: Simplify right side
944,784,822.20x = 410,599,674,733,630,848 - Step 5: Solve for x
x = 410,599,674,733,630,848/944,784,822.20 - Step 6: Final answer
x = 434,595,968.40
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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.