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Finding the Fourth Proportional to 408,665.37, 563,961 and 227,384.94

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Solution

The fourth proportional to 408,665.37, 563,961 and 227,384.94 is: 313,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,665.37 : 563,961 = 227,384.94 : x
  2. Step 2: Convert to fraction form
    408,665.37/563,961 = 227,384.94/x
  3. Step 3: Cross multiply
    408,665.37x = 563,961 × 227,384.94
  4. Step 4: Simplify right side
    408,665.37x = 128,236,238,147.34
  5. Step 5: Solve for x
    x = 128,236,238,147.34/408,665.37
  6. Step 6: Final answer
    x = 313,792.77

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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.