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Finding the Fourth Proportional to 408,964.67, 564,360.23 and 227,676.60

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Solution

The fourth proportional to 408,964.67, 564,360.23 and 227,676.60 is: 314,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,964.67 : 564,360.23 = 227,676.60 : x
  2. Step 2: Convert to fraction form
    408,964.67/564,360.23 = 227,676.60/x
  3. Step 3: Cross multiply
    408,964.67x = 564,360.23 × 227,676.60
  4. Step 4: Simplify right side
    408,964.67x = 128,491,617,203.24
  5. Step 5: Solve for x
    x = 128,491,617,203.24/408,964.67
  6. Step 6: Final answer
    x = 314,187.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.