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Finding the Fourth Proportional to 306,507.32, 422,999.10 and 170,571.56

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Solution

The fourth proportional to 306,507.32, 422,999.10 and 170,571.56 is: 235,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,507.32 : 422,999.10 = 170,571.56 : x
  2. Step 2: Convert to fraction form
    306,507.32/422,999.10 = 170,571.56/x
  3. Step 3: Cross multiply
    306,507.32x = 422,999.10 × 170,571.56
  4. Step 4: Simplify right side
    306,507.32x = 72,151,616,365.60
  5. Step 5: Solve for x
    x = 72,151,616,365.60/306,507.32
  6. Step 6: Final answer
    x = 235,399.33

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1.5x scale

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.