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Finding the Fourth Proportional to 306,378.75, 422,796.61 and 170,409.78

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Solution

The fourth proportional to 306,378.75, 422,796.61 and 170,409.78 is: 235,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,378.75 : 422,796.61 = 170,409.78 : x
  2. Step 2: Convert to fraction form
    306,378.75/422,796.61 = 170,409.78/x
  3. Step 3: Cross multiply
    306,378.75x = 422,796.61 × 170,409.78
  4. Step 4: Simplify right side
    306,378.75x = 72,048,677,507.86
  5. Step 5: Solve for x
    x = 72,048,677,507.86/306,378.75
  6. Step 6: Final answer
    x = 235,162.12

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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.