Finding the Fourth Proportional to 310,614,340,310.62, 465,509,628,731.85 and 159,514,537,604.38
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Solution
The fourth proportional to 310,614,340,310.62, 465,509,628,731.85 and 159,514,537,604.38 is: 239,060,286,473.87
Step by Step Solution
- Step 1: Write the proportion equation
310,614,340,310.62 : 465,509,628,731.85 = 159,514,537,604.38 : x - Step 2: Convert to fraction form
310,614,340,310.62/465,509,628,731.85 = 159,514,537,604.38/x - Step 3: Cross multiply
310,614,340,310.62x = 465,509,628,731.85 × 159,514,537,604.38 - Step 4: Simplify right side
310,614,340,310.62x = 74,255,553,177,547,654,037,504 - Step 5: Solve for x
x = 74,255,553,177,547,654,037,504/310,614,340,310.62 - Step 6: Final answer
x = 239,060,286,473.87
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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.