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Finding the Fourth Proportional to 305,903.44, 422,131.68 and 169,946.08

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Solution

The fourth proportional to 305,903.44, 422,131.68 and 169,946.08 is: 234,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,903.44 : 422,131.68 = 169,946.08 : x
  2. Step 2: Convert to fraction form
    305,903.44/422,131.68 = 169,946.08/x
  3. Step 3: Cross multiply
    305,903.44x = 422,131.68 × 169,946.08
  4. Step 4: Simplify right side
    305,903.44x = 71,739,624,259.81
  5. Step 5: Solve for x
    x = 71,739,624,259.81/305,903.44
  6. Step 6: Final answer
    x = 234,517.22

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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.