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Finding the Fourth Proportional to 305,809.68, 422,014.44 and 171,672.72

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Solution

The fourth proportional to 305,809.68, 422,014.44 and 171,672.72 is: 236,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,809.68 : 422,014.44 = 171,672.72 : x
  2. Step 2: Convert to fraction form
    305,809.68/422,014.44 = 171,672.72/x
  3. Step 3: Cross multiply
    305,809.68x = 422,014.44 × 171,672.72
  4. Step 4: Simplify right side
    305,809.68x = 72,448,366,794.08
  5. Step 5: Solve for x
    x = 72,448,366,794.08/305,809.68
  6. Step 6: Final answer
    x = 236,906.72

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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.