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Finding the Fourth Proportional to 259,834.41, 389,762.46 and 82,337.49

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Solution

The fourth proportional to 259,834.41, 389,762.46 and 82,337.49 is: 123,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,834.41 : 389,762.46 = 82,337.49 : x
  2. Step 2: Convert to fraction form
    259,834.41/389,762.46 = 82,337.49/x
  3. Step 3: Cross multiply
    259,834.41x = 389,762.46 × 82,337.49
  4. Step 4: Simplify right side
    259,834.41x = 32,092,062,652.63
  5. Step 5: Solve for x
    x = 32,092,062,652.63/259,834.41
  6. Step 6: Final answer
    x = 123,509.67

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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.