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Finding the Fourth Proportional to 306,302.40, 422,664.96 and 170,314.41

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Solution

The fourth proportional to 306,302.40, 422,664.96 and 170,314.41 is: 235,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,302.40 : 422,664.96 = 170,314.41 : x
  2. Step 2: Convert to fraction form
    306,302.40/422,664.96 = 170,314.41/x
  3. Step 3: Cross multiply
    306,302.40x = 422,664.96 × 170,314.41
  4. Step 4: Simplify right side
    306,302.40x = 71,985,933,290.07
  5. Step 5: Solve for x
    x = 71,985,933,290.07/306,302.40
  6. Step 6: Final answer
    x = 235,015.90

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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.