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Finding the Fourth Proportional to 398,828, 550,421.52 and 219,980

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Solution

The fourth proportional to 398,828, 550,421.52 and 219,980 is: 303,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,828 : 550,421.52 = 219,980 : x
  2. Step 2: Convert to fraction form
    398,828/550,421.52 = 219,980/x
  3. Step 3: Cross multiply
    398,828x = 550,421.52 × 219,980
  4. Step 4: Simplify right side
    398,828x = 121,081,725,969.60
  5. Step 5: Solve for x
    x = 121,081,725,969.60/398,828
  6. Step 6: Final answer
    x = 303,593.84

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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.