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Finding the Fourth Proportional to 398,234.10, 597,256.80 and 113,915.88

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Solution

The fourth proportional to 398,234.10, 597,256.80 and 113,915.88 is: 170,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,234.10 : 597,256.80 = 113,915.88 : x
  2. Step 2: Convert to fraction form
    398,234.10/597,256.80 = 113,915.88/x
  3. Step 3: Cross multiply
    398,234.10x = 597,256.80 × 113,915.88
  4. Step 4: Simplify right side
    398,234.10x = 68,037,033,957.98
  5. Step 5: Solve for x
    x = 68,037,033,957.98/398,234.10
  6. Step 6: Final answer
    x = 170,846.83

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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.