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Finding the Fourth Proportional to 231,806.10, 347,709.15 and 143,232.60

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Solution

The fourth proportional to 231,806.10, 347,709.15 and 143,232.60 is: 214,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806.10 : 347,709.15 = 143,232.60 : x
  2. Step 2: Convert to fraction form
    231,806.10/347,709.15 = 143,232.60/x
  3. Step 3: Cross multiply
    231,806.10x = 347,709.15 × 143,232.60
  4. Step 4: Simplify right side
    231,806.10x = 49,803,285,598.29
  5. Step 5: Solve for x
    x = 49,803,285,598.29/231,806.10
  6. Step 6: Final answer
    x = 214,848.90

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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.