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Finding the Fourth Proportional to 230,964.60, 346,446.90 and 131,431.80

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Solution

The fourth proportional to 230,964.60, 346,446.90 and 131,431.80 is: 197,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,964.60 : 346,446.90 = 131,431.80 : x
  2. Step 2: Convert to fraction form
    230,964.60/346,446.90 = 131,431.80/x
  3. Step 3: Cross multiply
    230,964.60x = 346,446.90 × 131,431.80
  4. Step 4: Simplify right side
    230,964.60x = 45,534,139,671.42
  5. Step 5: Solve for x
    x = 45,534,139,671.42/230,964.60
  6. Step 6: Final answer
    x = 197,147.70

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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.