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Finding the Fourth Proportional to 768,488, 1,152,738.48 and 269,852

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Solution

The fourth proportional to 768,488, 1,152,738.48 and 269,852 is: 404,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,488 : 1,152,738.48 = 269,852 : x
  2. Step 2: Convert to fraction form
    768,488/1,152,738.48 = 269,852/x
  3. Step 3: Cross multiply
    768,488x = 1,152,738.48 × 269,852
  4. Step 4: Simplify right side
    768,488x = 311,068,784,304.96
  5. Step 5: Solve for x
    x = 311,068,784,304.96/768,488
  6. Step 6: Final answer
    x = 404,780.28

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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.