Finding the Fourth Proportional to 1,226,698,943.12, 1,838,973,460.44 and 461,331,524.24
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Solution
The fourth proportional to 1,226,698,943.12, 1,838,973,460.44 and 461,331,524.24 is: 691,593,022.31
Step by Step Solution
- Step 1: Write the proportion equation
1,226,698,943.12 : 1,838,973,460.44 = 461,331,524.24 : x - Step 2: Convert to fraction form
1,226,698,943.12/1,838,973,460.44 = 461,331,524.24/x - Step 3: Cross multiply
1,226,698,943.12x = 1,838,973,460.44 × 461,331,524.24 - Step 4: Simplify right side
1,226,698,943.12x = 848,376,429,541,692,544 - Step 5: Solve for x
x = 848,376,429,541,692,544/1,226,698,943.12 - Step 6: Final answer
x = 691,593,022.31
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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.