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Finding the Fourth Proportional to 305,903.36, 422,147.09 and 169,933.61

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Solution

The fourth proportional to 305,903.36, 422,147.09 and 169,933.61 is: 234,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,903.36 : 422,147.09 = 169,933.61 : x
  2. Step 2: Convert to fraction form
    305,903.36/422,147.09 = 169,933.61/x
  3. Step 3: Cross multiply
    305,903.36x = 422,147.09 × 169,933.61
  4. Step 4: Simplify right side
    305,903.36x = 71,736,980,434.90
  5. Step 5: Solve for x
    x = 71,736,980,434.90/305,903.36
  6. Step 6: Final answer
    x = 234,508.64

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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.