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Finding the Fourth Proportional to 375,997.80, 518,873.40 and 203,919.54

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Solution

The fourth proportional to 375,997.80, 518,873.40 and 203,919.54 is: 281,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,997.80 : 518,873.40 = 203,919.54 : x
  2. Step 2: Convert to fraction form
    375,997.80/518,873.40 = 203,919.54/x
  3. Step 3: Cross multiply
    375,997.80x = 518,873.40 × 203,919.54
  4. Step 4: Simplify right side
    375,997.80x = 105,808,425,046.24
  5. Step 5: Solve for x
    x = 105,808,425,046.24/375,997.80
  6. Step 6: Final answer
    x = 281,407.03

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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.