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Finding the Fourth Proportional to 305,762.60, 421,938.24 and 169,805.24

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Solution

The fourth proportional to 305,762.60, 421,938.24 and 169,805.24 is: 234,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,762.60 : 421,938.24 = 169,805.24 : x
  2. Step 2: Convert to fraction form
    305,762.60/421,938.24 = 169,805.24/x
  3. Step 3: Cross multiply
    305,762.60x = 421,938.24 × 169,805.24
  4. Step 4: Simplify right side
    305,762.60x = 71,647,324,108.38
  5. Step 5: Solve for x
    x = 71,647,324,108.38/305,762.60
  6. Step 6: Final answer
    x = 234,323.37

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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.