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Finding the Fourth Proportional to 381,680.10, 572,520.15 and 224,216.10

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Solution

The fourth proportional to 381,680.10, 572,520.15 and 224,216.10 is: 336,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,680.10 : 572,520.15 = 224,216.10 : x
  2. Step 2: Convert to fraction form
    381,680.10/572,520.15 = 224,216.10/x
  3. Step 3: Cross multiply
    381,680.10x = 572,520.15 × 224,216.10
  4. Step 4: Simplify right side
    381,680.10x = 128,368,235,204.42
  5. Step 5: Solve for x
    x = 128,368,235,204.42/381,680.10
  6. Step 6: Final answer
    x = 336,324.15

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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.