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Finding the Fourth Proportional to 305,812.80, 422,027.28 and 169,859.36

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Solution

The fourth proportional to 305,812.80, 422,027.28 and 169,859.36 is: 234,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,812.80 : 422,027.28 = 169,859.36 : x
  2. Step 2: Convert to fraction form
    305,812.80/422,027.28 = 169,859.36/x
  3. Step 3: Cross multiply
    305,812.80x = 422,027.28 × 169,859.36
  4. Step 4: Simplify right side
    305,812.80x = 71,685,283,683.34
  5. Step 5: Solve for x
    x = 71,685,283,683.34/305,812.80
  6. Step 6: Final answer
    x = 234,409.04

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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.