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Finding the Fourth Proportional to 230,922.60, 346,383.90 and 213,207.90

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Solution

The fourth proportional to 230,922.60, 346,383.90 and 213,207.90 is: 319,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,922.60 : 346,383.90 = 213,207.90 : x
  2. Step 2: Convert to fraction form
    230,922.60/346,383.90 = 213,207.90/x
  3. Step 3: Cross multiply
    230,922.60x = 346,383.90 × 213,207.90
  4. Step 4: Simplify right side
    230,922.60x = 73,851,783,912.81
  5. Step 5: Solve for x
    x = 73,851,783,912.81/230,922.60
  6. Step 6: Final answer
    x = 319,811.85

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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.