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Finding the Fourth Proportional to 381,874.60, 572,423.10 and 224,021.80

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Solution

The fourth proportional to 381,874.60, 572,423.10 and 224,021.80 is: 335,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,874.60 : 572,423.10 = 224,021.80 : x
  2. Step 2: Convert to fraction form
    381,874.60/572,423.10 = 224,021.80/x
  3. Step 3: Cross multiply
    381,874.60x = 572,423.10 × 224,021.80
  4. Step 4: Simplify right side
    381,874.60x = 128,235,253,223.58
  5. Step 5: Solve for x
    x = 128,235,253,223.58/381,874.60
  6. Step 6: Final answer
    x = 335,804.62

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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.