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Finding the Fourth Proportional to 409,139.20, 613,132.80 and 325,043.20

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Solution

The fourth proportional to 409,139.20, 613,132.80 and 325,043.20 is: 487,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,139.20 : 613,132.80 = 325,043.20 : x
  2. Step 2: Convert to fraction form
    409,139.20/613,132.80 = 325,043.20/x
  3. Step 3: Cross multiply
    409,139.20x = 613,132.80 × 325,043.20
  4. Step 4: Simplify right side
    409,139.20x = 199,294,647,336.96
  5. Step 5: Solve for x
    x = 199,294,647,336.96/409,139.20
  6. Step 6: Final answer
    x = 487,107.19

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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.