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Finding the Fourth Proportional to 408,509.76, 563,735.37 and 227,217.79

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Solution

The fourth proportional to 408,509.76, 563,735.37 and 227,217.79 is: 313,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,509.76 : 563,735.37 = 227,217.79 : x
  2. Step 2: Convert to fraction form
    408,509.76/563,735.37 = 227,217.79/x
  3. Step 3: Cross multiply
    408,509.76x = 563,735.37 × 227,217.79
  4. Step 4: Simplify right side
    408,509.76x = 128,090,704,916.23
  5. Step 5: Solve for x
    x = 128,090,704,916.23/408,509.76
  6. Step 6: Final answer
    x = 313,556.05

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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.