Finding the Fourth Proportional to 1,410,488,532.62, 1,946,358,476.19 and 830,372,602.31
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Solution
The fourth proportional to 1,410,488,532.62, 1,946,358,476.19 and 830,372,602.31 is: 1,145,846,077.81
Step by Step Solution
- Step 1: Write the proportion equation
1,410,488,532.62 : 1,946,358,476.19 = 830,372,602.31 : x - Step 2: Convert to fraction form
1,410,488,532.62/1,946,358,476.19 = 830,372,602.31/x - Step 3: Cross multiply
1,410,488,532.62x = 1,946,358,476.19 × 830,372,602.31 - Step 4: Simplify right side
1,410,488,532.62x = 1,616,202,752,899,564,032 - Step 5: Solve for x
x = 1,616,202,752,899,564,032/1,410,488,532.62 - Step 6: Final answer
x = 1,145,846,077.81
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.