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Finding the Fourth Proportional to 301,101.30, 451,348.20 and 111,439.80

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Solution

The fourth proportional to 301,101.30, 451,348.20 and 111,439.80 is: 167,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.30 : 451,348.20 = 111,439.80 : x
  2. Step 2: Convert to fraction form
    301,101.30/451,348.20 = 111,439.80/x
  3. Step 3: Cross multiply
    301,101.30x = 451,348.20 × 111,439.80
  4. Step 4: Simplify right side
    301,101.30x = 50,298,153,138.36
  5. Step 5: Solve for x
    x = 50,298,153,138.36/301,101.30
  6. Step 6: Final answer
    x = 167,047.28

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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.