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Finding the Fourth Proportional to 774,345, 1,161,561.24 and 275,709

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Solution

The fourth proportional to 774,345, 1,161,561.24 and 275,709 is: 413,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,345 : 1,161,561.24 = 275,709 : x
  2. Step 2: Convert to fraction form
    774,345/1,161,561.24 = 275,709/x
  3. Step 3: Cross multiply
    774,345x = 1,161,561.24 × 275,709
  4. Step 4: Simplify right side
    774,345x = 320,252,887,919.16
  5. Step 5: Solve for x
    x = 320,252,887,919.16/774,345
  6. Step 6: Final answer
    x = 413,579.07

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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.