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Finding the Fourth Proportional to 768,486, 1,152,735.48 and 269,850

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Solution

The fourth proportional to 768,486, 1,152,735.48 and 269,850 is: 404,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,486 : 1,152,735.48 = 269,850 : x
  2. Step 2: Convert to fraction form
    768,486/1,152,735.48 = 269,850/x
  3. Step 3: Cross multiply
    768,486x = 1,152,735.48 × 269,850
  4. Step 4: Simplify right side
    768,486x = 311,065,669,278
  5. Step 5: Solve for x
    x = 311,065,669,278/768,486
  6. Step 6: Final answer
    x = 404,777.28

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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.