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Finding the Fourth Proportional to 408,458.79, 563,629.92 and 227,141.40

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Solution

The fourth proportional to 408,458.79, 563,629.92 and 227,141.40 is: 313,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,458.79 : 563,629.92 = 227,141.40 : x
  2. Step 2: Convert to fraction form
    408,458.79/563,629.92 = 227,141.40/x
  3. Step 3: Cross multiply
    408,458.79x = 563,629.92 × 227,141.40
  4. Step 4: Simplify right side
    408,458.79x = 128,023,689,110.69
  5. Step 5: Solve for x
    x = 128,023,689,110.69/408,458.79
  6. Step 6: Final answer
    x = 313,431.10

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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.