Finding the Fourth Proportional to 189,024,911.80, 283,537,367.70 and 158,791,823.80
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Solution
The fourth proportional to 189,024,911.80, 283,537,367.70 and 158,791,823.80 is: 238,187,735.70
Step by Step Solution
- Step 1: Write the proportion equation
189,024,911.80 : 283,537,367.70 = 158,791,823.80 : x - Step 2: Convert to fraction form
189,024,911.80/283,537,367.70 = 158,791,823.80/x - Step 3: Cross multiply
189,024,911.80x = 283,537,367.70 × 158,791,823.80 - Step 4: Simplify right side
189,024,911.80x = 45,023,415,732,534,216 - Step 5: Solve for x
x = 45,023,415,732,534,216/189,024,911.80 - Step 6: Final answer
x = 238,187,735.70
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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.