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Finding the Fourth Proportional to 768,474, 1,152,717.48 and 269,838

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Solution

The fourth proportional to 768,474, 1,152,717.48 and 269,838 is: 404,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,474 : 1,152,717.48 = 269,838 : x
  2. Step 2: Convert to fraction form
    768,474/1,152,717.48 = 269,838/x
  3. Step 3: Cross multiply
    768,474x = 1,152,717.48 × 269,838
  4. Step 4: Simplify right side
    768,474x = 311,046,979,368.24
  5. Step 5: Solve for x
    x = 311,046,979,368.24/768,474
  6. Step 6: Final answer
    x = 404,759.28

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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.