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Finding the Fourth Proportional to 408,443.60, 563,619.50 and 227,155.88

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Solution

The fourth proportional to 408,443.60, 563,619.50 and 227,155.88 is: 313,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,443.60 : 563,619.50 = 227,155.88 : x
  2. Step 2: Convert to fraction form
    408,443.60/563,619.50 = 227,155.88/x
  3. Step 3: Cross multiply
    408,443.60x = 563,619.50 × 227,155.88
  4. Step 4: Simplify right side
    408,443.60x = 128,029,483,507.66
  5. Step 5: Solve for x
    x = 128,029,483,507.66/408,443.60
  6. Step 6: Final answer
    x = 313,456.95

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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.