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Finding the Fourth Proportional to 232,149.30, 347,895.90 and 143,138.40

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Solution

The fourth proportional to 232,149.30, 347,895.90 and 143,138.40 is: 214,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,149.30 : 347,895.90 = 143,138.40 : x
  2. Step 2: Convert to fraction form
    232,149.30/347,895.90 = 143,138.40/x
  3. Step 3: Cross multiply
    232,149.30x = 347,895.90 × 143,138.40
  4. Step 4: Simplify right side
    232,149.30x = 49,797,262,492.56
  5. Step 5: Solve for x
    x = 49,797,262,492.56/232,149.30
  6. Step 6: Final answer
    x = 214,505.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.