Finding the Fourth Proportional to 278,684,919.36, 418,033,120.32 and 101,415,991.68
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Solution
The fourth proportional to 278,684,919.36, 418,033,120.32 and 101,415,991.68 is: 152,126,076.82
Step by Step Solution
- Step 1: Write the proportion equation
278,684,919.36 : 418,033,120.32 = 101,415,991.68 : x - Step 2: Convert to fraction form
278,684,919.36/418,033,120.32 = 101,415,991.68/x - Step 3: Cross multiply
278,684,919.36x = 418,033,120.32 × 101,415,991.68 - Step 4: Simplify right side
278,684,919.36x = 42,395,243,452,337,560 - Step 5: Solve for x
x = 42,395,243,452,337,560/278,684,919.36 - Step 6: Final answer
x = 152,126,076.82
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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.