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Finding the Fourth Proportional to 281,044.32, 387,855.36 and 166,388.80

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Solution

The fourth proportional to 281,044.32, 387,855.36 and 166,388.80 is: 229,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,044.32 : 387,855.36 = 166,388.80 : x
  2. Step 2: Convert to fraction form
    281,044.32/387,855.36 = 166,388.80/x
  3. Step 3: Cross multiply
    281,044.32x = 387,855.36 × 166,388.80
  4. Step 4: Simplify right side
    281,044.32x = 64,534,787,923.97
  5. Step 5: Solve for x
    x = 64,534,787,923.97/281,044.32
  6. Step 6: Final answer
    x = 229,624.95

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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.