Finding the Fourth Proportional to 897,120,175.20, 1,346,282,125.20 and 314,853,295.20
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Solution
The fourth proportional to 897,120,175.20, 1,346,282,125.20 and 314,853,295.20 is: 472,491,172.43
Step by Step Solution
- Step 1: Write the proportion equation
897,120,175.20 : 1,346,282,125.20 = 314,853,295.20 : x - Step 2: Convert to fraction form
897,120,175.20/1,346,282,125.20 = 314,853,295.20/x - Step 3: Cross multiply
897,120,175.20x = 1,346,282,125.20 × 314,853,295.20 - Step 4: Simplify right side
897,120,175.20x = 423,881,363,388,078,976 - Step 5: Solve for x
x = 423,881,363,388,078,976/897,120,175.20 - Step 6: Final answer
x = 472,491,172.43
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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.