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Finding the Fourth Proportional to 425,448.32, 638,198.44 and 137,289.20

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Solution

The fourth proportional to 425,448.32, 638,198.44 and 137,289.20 is: 205,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,448.32 : 638,198.44 = 137,289.20 : x
  2. Step 2: Convert to fraction form
    425,448.32/638,198.44 = 137,289.20/x
  3. Step 3: Cross multiply
    425,448.32x = 638,198.44 × 137,289.20
  4. Step 4: Simplify right side
    425,448.32x = 87,617,753,268.85
  5. Step 5: Solve for x
    x = 87,617,753,268.85/425,448.32
  6. Step 6: Final answer
    x = 205,942.18

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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.