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Finding the Fourth Proportional to 774,351, 1,161,570.24 and 275,715

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Solution

The fourth proportional to 774,351, 1,161,570.24 and 275,715 is: 413,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,351 : 1,161,570.24 = 275,715 : x
  2. Step 2: Convert to fraction form
    774,351/1,161,570.24 = 275,715/x
  3. Step 3: Cross multiply
    774,351x = 1,161,570.24 × 275,715
  4. Step 4: Simplify right side
    774,351x = 320,262,338,721.60
  5. Step 5: Solve for x
    x = 320,262,338,721.60/774,351
  6. Step 6: Final answer
    x = 413,588.07

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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.