Finding the Fourth Proportional to 260,657,514,578.24, 390,775,278,963.90 and 81,491,277,376.76
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Solution
The fourth proportional to 260,657,514,578.24, 390,775,278,963.90 and 81,491,277,376.76 is: 122,170,951,800.70
Step by Step Solution
- Step 1: Write the proportion equation
260,657,514,578.24 : 390,775,278,963.90 = 81,491,277,376.76 : x - Step 2: Convert to fraction form
260,657,514,578.24/390,775,278,963.90 = 81,491,277,376.76/x - Step 3: Cross multiply
260,657,514,578.24x = 390,775,278,963.90 × 81,491,277,376.76 - Step 4: Simplify right side
260,657,514,578.24x = 31,844,776,650,027,940,446,208 - Step 5: Solve for x
x = 31,844,776,650,027,940,446,208/260,657,514,578.24 - Step 6: Final answer
x = 122,170,951,800.70
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.