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Finding the Fourth Proportional to 300,780.70, 415,076.07 and 164,814.10

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Solution

The fourth proportional to 300,780.70, 415,076.07 and 164,814.10 is: 227,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,780.70 : 415,076.07 = 164,814.10 : x
  2. Step 2: Convert to fraction form
    300,780.70/415,076.07 = 164,814.10/x
  3. Step 3: Cross multiply
    300,780.70x = 415,076.07 × 164,814.10
  4. Step 4: Simplify right side
    300,780.70x = 68,410,388,908.59
  5. Step 5: Solve for x
    x = 68,410,388,908.59/300,780.70
  6. Step 6: Final answer
    x = 227,442.75

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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.