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Finding the Fourth Proportional to 405,828, 560,044.56 and 226,980

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Solution

The fourth proportional to 405,828, 560,044.56 and 226,980 is: 313,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,828 : 560,044.56 = 226,980 : x
  2. Step 2: Convert to fraction form
    405,828/560,044.56 = 226,980/x
  3. Step 3: Cross multiply
    405,828x = 560,044.56 × 226,980
  4. Step 4: Simplify right side
    405,828x = 127,118,914,228.80
  5. Step 5: Solve for x
    x = 127,118,914,228.80/405,828
  6. Step 6: Final answer
    x = 313,233.47

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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.