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Finding the Fourth Proportional to 284,200.72, 392,201.81 and 155,145.85

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Solution

The fourth proportional to 284,200.72, 392,201.81 and 155,145.85 is: 214,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,200.72 : 392,201.81 = 155,145.85 : x
  2. Step 2: Convert to fraction form
    284,200.72/392,201.81 = 155,145.85/x
  3. Step 3: Cross multiply
    284,200.72x = 392,201.81 × 155,145.85
  4. Step 4: Simplify right side
    284,200.72x = 60,848,483,183.99
  5. Step 5: Solve for x
    x = 60,848,483,183.99/284,200.72
  6. Step 6: Final answer
    x = 214,103.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.