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Finding the Fourth Proportional to 220,430, 304,193.52 and 119,828

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Solution

The fourth proportional to 220,430, 304,193.52 and 119,828 is: 165,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,430 : 304,193.52 = 119,828 : x
  2. Step 2: Convert to fraction form
    220,430/304,193.52 = 119,828/x
  3. Step 3: Cross multiply
    220,430x = 304,193.52 × 119,828
  4. Step 4: Simplify right side
    220,430x = 36,450,901,114.56
  5. Step 5: Solve for x
    x = 36,450,901,114.56/220,430
  6. Step 6: Final answer
    x = 165,362.71

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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.