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Finding the Fourth Proportional to 398,722.50, 550,224.78 and 226,659.26

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Solution

The fourth proportional to 398,722.50, 550,224.78 and 226,659.26 is: 312,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,722.50 : 550,224.78 = 226,659.26 : x
  2. Step 2: Convert to fraction form
    398,722.50/550,224.78 = 226,659.26/x
  3. Step 3: Cross multiply
    398,722.50x = 550,224.78 × 226,659.26
  4. Step 4: Simplify right side
    398,722.50x = 124,713,538,717.34
  5. Step 5: Solve for x
    x = 124,713,538,717.34/398,722.50
  6. Step 6: Final answer
    x = 312,782.80

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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.