Finding the Fourth Proportional to 509,105,097.81, 763,345,107.99 and 197,849,278.62
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Solution
The fourth proportional to 509,105,097.81, 763,345,107.99 and 197,849,278.62 is: 296,652,458.61
Step by Step Solution
- Step 1: Write the proportion equation
509,105,097.81 : 763,345,107.99 = 197,849,278.62 : x - Step 2: Convert to fraction form
509,105,097.81/763,345,107.99 = 197,849,278.62/x - Step 3: Cross multiply
509,105,097.81x = 763,345,107.99 × 197,849,278.62 - Step 4: Simplify right side
509,105,097.81x = 151,027,278,953,927,488 - Step 5: Solve for x
x = 151,027,278,953,927,488/509,105,097.81 - Step 6: Final answer
x = 296,652,458.61
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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.