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Finding the Fourth Proportional to 512,359.74, 768,541.84 and 212,840.03

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Solution

The fourth proportional to 512,359.74, 768,541.84 and 212,840.03 is: 319,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,359.74 : 768,541.84 = 212,840.03 : x
  2. Step 2: Convert to fraction form
    512,359.74/768,541.84 = 212,840.03/x
  3. Step 3: Cross multiply
    512,359.74x = 768,541.84 × 212,840.03
  4. Step 4: Simplify right side
    512,359.74x = 163,576,469,671.11
  5. Step 5: Solve for x
    x = 163,576,469,671.11/512,359.74
  6. Step 6: Final answer
    x = 319,260.97

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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.