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Finding the Fourth Proportional to 413,914.08, 620,351.94 and 176,978.64

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Solution

The fourth proportional to 413,914.08, 620,351.94 and 176,978.64 is: 265,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,914.08 : 620,351.94 = 176,978.64 : x
  2. Step 2: Convert to fraction form
    413,914.08/620,351.94 = 176,978.64/x
  3. Step 3: Cross multiply
    413,914.08x = 620,351.94 × 176,978.64
  4. Step 4: Simplify right side
    413,914.08x = 109,789,042,662.56
  5. Step 5: Solve for x
    x = 109,789,042,662.56/413,914.08
  6. Step 6: Final answer
    x = 265,245.97

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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.