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Finding the Fourth Proportional to 231,806.60, 347,709.90 and 143,233.10

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Solution

The fourth proportional to 231,806.60, 347,709.90 and 143,233.10 is: 214,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806.60 : 347,709.90 = 143,233.10 : x
  2. Step 2: Convert to fraction form
    231,806.60/347,709.90 = 143,233.10/x
  3. Step 3: Cross multiply
    231,806.60x = 347,709.90 × 143,233.10
  4. Step 4: Simplify right side
    231,806.60x = 49,803,566,877.69
  5. Step 5: Solve for x
    x = 49,803,566,877.69/231,806.60
  6. Step 6: Final answer
    x = 214,849.65

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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.