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Finding the Fourth Proportional to 301,101.62, 451,258.70 and 123,400.58

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Solution

The fourth proportional to 301,101.62, 451,258.70 and 123,400.58 is: 184,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.62 : 451,258.70 = 123,400.58 : x
  2. Step 2: Convert to fraction form
    301,101.62/451,258.70 = 123,400.58/x
  3. Step 3: Cross multiply
    301,101.62x = 451,258.70 × 123,400.58
  4. Step 4: Simplify right side
    301,101.62x = 55,685,585,310.05
  5. Step 5: Solve for x
    x = 55,685,585,310.05/301,101.62
  6. Step 6: Final answer
    x = 184,939.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.