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Finding the Fourth Proportional to 408,677.96, 563,940.60 and 227,390.24

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Solution

The fourth proportional to 408,677.96, 563,940.60 and 227,390.24 is: 313,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,677.96 : 563,940.60 = 227,390.24 : x
  2. Step 2: Convert to fraction form
    408,677.96/563,940.60 = 227,390.24/x
  3. Step 3: Cross multiply
    408,677.96x = 563,940.60 × 227,390.24
  4. Step 4: Simplify right side
    408,677.96x = 128,234,588,936.88
  5. Step 5: Solve for x
    x = 128,234,588,936.88/408,677.96
  6. Step 6: Final answer
    x = 313,779.06

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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.