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Finding the Fourth Proportional to 422,463.48, 632,878.65 and 234,906.36

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Solution

The fourth proportional to 422,463.48, 632,878.65 and 234,906.36 is: 351,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,463.48 : 632,878.65 = 234,906.36 : x
  2. Step 2: Convert to fraction form
    422,463.48/632,878.65 = 234,906.36/x
  3. Step 3: Cross multiply
    422,463.48x = 632,878.65 × 234,906.36
  4. Step 4: Simplify right side
    422,463.48x = 148,667,219,993.21
  5. Step 5: Solve for x
    x = 148,667,219,993.21/422,463.48
  6. Step 6: Final answer
    x = 351,905.49

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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.