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Finding the Fourth Proportional to 402,288, 603,959.36 and 269,761.28

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Solution

The fourth proportional to 402,288, 603,959.36 and 269,761.28 is: 404,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,288 : 603,959.36 = 269,761.28 : x
  2. Step 2: Convert to fraction form
    402,288/603,959.36 = 269,761.28/x
  3. Step 3: Cross multiply
    402,288x = 603,959.36 × 269,761.28
  4. Step 4: Simplify right side
    402,288x = 162,924,850,021.58
  5. Step 5: Solve for x
    x = 162,924,850,021.58/402,288
  6. Step 6: Final answer
    x = 404,995.55

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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.