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Finding the Fourth Proportional to 306,375.75, 422,792.48 and 170,406.78

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Solution

The fourth proportional to 306,375.75, 422,792.48 and 170,406.78 is: 235,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,375.75 : 422,792.48 = 170,406.78 : x
  2. Step 2: Convert to fraction form
    306,375.75/422,792.48 = 170,406.78/x
  3. Step 3: Cross multiply
    306,375.75x = 422,792.48 × 170,406.78
  4. Step 4: Simplify right side
    306,375.75x = 72,046,702,687.51
  5. Step 5: Solve for x
    x = 72,046,702,687.51/306,375.75
  6. Step 6: Final answer
    x = 235,157.98

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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.