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Finding the Fourth Proportional to 375,383.20, 518,026.24 and 203,297.20

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Solution

The fourth proportional to 375,383.20, 518,026.24 and 203,297.20 is: 280,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,383.20 : 518,026.24 = 203,297.20 : x
  2. Step 2: Convert to fraction form
    375,383.20/518,026.24 = 203,297.20/x
  3. Step 3: Cross multiply
    375,383.20x = 518,026.24 × 203,297.20
  4. Step 4: Simplify right side
    375,383.20x = 105,313,284,118.53
  5. Step 5: Solve for x
    x = 105,313,284,118.53/375,383.20
  6. Step 6: Final answer
    x = 280,548.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.