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Finding the Fourth Proportional to 240,439.89, 360,709.02 and 82,647.84

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Solution

The fourth proportional to 240,439.89, 360,709.02 and 82,647.84 is: 123,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,439.89 : 360,709.02 = 82,647.84 : x
  2. Step 2: Convert to fraction form
    240,439.89/360,709.02 = 82,647.84/x
  3. Step 3: Cross multiply
    240,439.89x = 360,709.02 × 82,647.84
  4. Step 4: Simplify right side
    240,439.89x = 29,811,821,371.52
  5. Step 5: Solve for x
    x = 29,811,821,371.52/240,439.89
  6. Step 6: Final answer
    x = 123,988.67

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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.