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Finding the Fourth Proportional to 414,419.80, 621,629.70 and 134,138.20

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Solution

The fourth proportional to 414,419.80, 621,629.70 and 134,138.20 is: 201,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,419.80 : 621,629.70 = 134,138.20 : x
  2. Step 2: Convert to fraction form
    414,419.80/621,629.70 = 134,138.20/x
  3. Step 3: Cross multiply
    414,419.80x = 621,629.70 × 134,138.20
  4. Step 4: Simplify right side
    414,419.80x = 83,384,289,024.54
  5. Step 5: Solve for x
    x = 83,384,289,024.54/414,419.80
  6. Step 6: Final answer
    x = 201,207.30

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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.