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Finding the Fourth Proportional to 458,836.79, 688,353.60 and 192,443.79

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Solution

The fourth proportional to 458,836.79, 688,353.60 and 192,443.79 is: 288,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,836.79 : 688,353.60 = 192,443.79 : x
  2. Step 2: Convert to fraction form
    458,836.79/688,353.60 = 192,443.79/x
  3. Step 3: Cross multiply
    458,836.79x = 688,353.60 × 192,443.79
  4. Step 4: Simplify right side
    458,836.79x = 132,469,375,644.14
  5. Step 5: Solve for x
    x = 132,469,375,644.14/458,836.79
  6. Step 6: Final answer
    x = 288,706.96

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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.