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Finding the Fourth Proportional to 216,624.80, 324,062.40 and 187,367.60

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Solution

The fourth proportional to 216,624.80, 324,062.40 and 187,367.60 is: 280,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,624.80 : 324,062.40 = 187,367.60 : x
  2. Step 2: Convert to fraction form
    216,624.80/324,062.40 = 187,367.60/x
  3. Step 3: Cross multiply
    216,624.80x = 324,062.40 × 187,367.60
  4. Step 4: Simplify right side
    216,624.80x = 60,718,794,138.24
  5. Step 5: Solve for x
    x = 60,718,794,138.24/216,624.80
  6. Step 6: Final answer
    x = 280,294.75

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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.