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Finding the Fourth Proportional to 377,725.60, 565,983.60 and 200,000.80

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Solution

The fourth proportional to 377,725.60, 565,983.60 and 200,000.80 is: 299,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,725.60 : 565,983.60 = 200,000.80 : x
  2. Step 2: Convert to fraction form
    377,725.60/565,983.60 = 200,000.80/x
  3. Step 3: Cross multiply
    377,725.60x = 565,983.60 × 200,000.80
  4. Step 4: Simplify right side
    377,725.60x = 113,197,172,786.88
  5. Step 5: Solve for x
    x = 113,197,172,786.88/377,725.60
  6. Step 6: Final answer
    x = 299,680.97

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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.