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Finding the Fourth Proportional to 375,494.73, 518,183.87 and 203,414.46

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Solution

The fourth proportional to 375,494.73, 518,183.87 and 203,414.46 is: 280,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,494.73 : 518,183.87 = 203,414.46 : x
  2. Step 2: Convert to fraction form
    375,494.73/518,183.87 = 203,414.46/x
  3. Step 3: Cross multiply
    375,494.73x = 518,183.87 × 203,414.46
  4. Step 4: Simplify right side
    375,494.73x = 105,406,091,079.69
  5. Step 5: Solve for x
    x = 105,406,091,079.69/375,494.73
  6. Step 6: Final answer
    x = 280,712.57

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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.