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Finding the Fourth Proportional to 408,786.58, 564,121.09 and 227,495.45

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Solution

The fourth proportional to 408,786.58, 564,121.09 and 227,495.45 is: 313,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,786.58 : 564,121.09 = 227,495.45 : x
  2. Step 2: Convert to fraction form
    408,786.58/564,121.09 = 227,495.45/x
  3. Step 3: Cross multiply
    408,786.58x = 564,121.09 × 227,495.45
  4. Step 4: Simplify right side
    408,786.58x = 128,334,982,918.71
  5. Step 5: Solve for x
    x = 128,334,982,918.71/408,786.58
  6. Step 6: Final answer
    x = 313,941.28

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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.