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Finding the Fourth Proportional to 279,492, 419,241.24 and 69,131.76

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Solution

The fourth proportional to 279,492, 419,241.24 and 69,131.76 is: 103,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,492 : 419,241.24 = 69,131.76 : x
  2. Step 2: Convert to fraction form
    279,492/419,241.24 = 69,131.76/x
  3. Step 3: Cross multiply
    279,492x = 419,241.24 × 69,131.76
  4. Step 4: Simplify right side
    279,492x = 28,982,884,785.78
  5. Step 5: Solve for x
    x = 28,982,884,785.78/279,492
  6. Step 6: Final answer
    x = 103,698.44

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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.