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Finding the Fourth Proportional to 408,449.72, 563,676.17 and 227,174.76

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Solution

The fourth proportional to 408,449.72, 563,676.17 and 227,174.76 is: 313,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,449.72 : 563,676.17 = 227,174.76 : x
  2. Step 2: Convert to fraction form
    408,449.72/563,676.17 = 227,174.76/x
  3. Step 3: Cross multiply
    408,449.72x = 563,676.17 × 227,174.76
  4. Step 4: Simplify right side
    408,449.72x = 128,052,997,501.60
  5. Step 5: Solve for x
    x = 128,052,997,501.60/408,449.72
  6. Step 6: Final answer
    x = 313,509.82

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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.