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Finding the Fourth Proportional to 408,441.60, 563,616.74 and 227,153.88

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Solution

The fourth proportional to 408,441.60, 563,616.74 and 227,153.88 is: 313,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,441.60 : 563,616.74 = 227,153.88 : x
  2. Step 2: Convert to fraction form
    408,441.60/563,616.74 = 227,153.88/x
  3. Step 3: Cross multiply
    408,441.60x = 563,616.74 × 227,153.88
  4. Step 4: Simplify right side
    408,441.60x = 128,027,729,323.95
  5. Step 5: Solve for x
    x = 128,027,729,323.95/408,441.60
  6. Step 6: Final answer
    x = 313,454.19

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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.