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Finding the Fourth Proportional to 291,243.20, 436,864.80 and 192,747.20

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Solution

The fourth proportional to 291,243.20, 436,864.80 and 192,747.20 is: 289,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,243.20 : 436,864.80 = 192,747.20 : x
  2. Step 2: Convert to fraction form
    291,243.20/436,864.80 = 192,747.20/x
  3. Step 3: Cross multiply
    291,243.20x = 436,864.80 × 192,747.20
  4. Step 4: Simplify right side
    291,243.20x = 84,204,466,978.56
  5. Step 5: Solve for x
    x = 84,204,466,978.56/291,243.20
  6. Step 6: Final answer
    x = 289,120.80

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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.