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Finding the Fourth Proportional to 305,881.64, 422,102.40 and 169,924.40

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Solution

The fourth proportional to 305,881.64, 422,102.40 and 169,924.40 is: 234,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,881.64 : 422,102.40 = 169,924.40 : x
  2. Step 2: Convert to fraction form
    305,881.64/422,102.40 = 169,924.40/x
  3. Step 3: Cross multiply
    305,881.64x = 422,102.40 × 169,924.40
  4. Step 4: Simplify right side
    305,881.64x = 71,725,497,058.56
  5. Step 5: Solve for x
    x = 71,725,497,058.56/305,881.64
  6. Step 6: Final answer
    x = 234,487.75

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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.