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Finding the Fourth Proportional to 774,768, 1,161,486.41 and 269,263.31

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Solution

The fourth proportional to 774,768, 1,161,486.41 and 269,263.31 is: 403,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,768 : 1,161,486.41 = 269,263.31 : x
  2. Step 2: Convert to fraction form
    774,768/1,161,486.41 = 269,263.31/x
  3. Step 3: Cross multiply
    774,768x = 1,161,486.41 × 269,263.31
  4. Step 4: Simplify right side
    774,768x = 312,745,668,122.87
  5. Step 5: Solve for x
    x = 312,745,668,122.87/774,768
  6. Step 6: Final answer
    x = 403,663.64

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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.