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Finding the Fourth Proportional to 415,964.20, 624,015.28 and 146,022.34

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Solution

The fourth proportional to 415,964.20, 624,015.28 and 146,022.34 is: 219,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,964.20 : 624,015.28 = 146,022.34 : x
  2. Step 2: Convert to fraction form
    415,964.20/624,015.28 = 146,022.34/x
  3. Step 3: Cross multiply
    415,964.20x = 624,015.28 × 146,022.34
  4. Step 4: Simplify right side
    415,964.20x = 91,120,171,381.36
  5. Step 5: Solve for x
    x = 91,120,171,381.36/415,964.20
  6. Step 6: Final answer
    x = 219,057.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.