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Finding the Fourth Proportional to 305,871.19, 422,114.09 and 169,915.46

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Solution

The fourth proportional to 305,871.19, 422,114.09 and 169,915.46 is: 234,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,871.19 : 422,114.09 = 169,915.46 : x
  2. Step 2: Convert to fraction form
    305,871.19/422,114.09 = 169,915.46/x
  3. Step 3: Cross multiply
    305,871.19x = 422,114.09 × 169,915.46
  4. Step 4: Simplify right side
    305,871.19x = 71,723,706,814.68
  5. Step 5: Solve for x
    x = 71,723,706,814.68/305,871.19
  6. Step 6: Final answer
    x = 234,489.91

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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.