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Finding the Fourth Proportional to 413,396.62, 620,183.46 and 143,533.20

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Solution

The fourth proportional to 413,396.62, 620,183.46 and 143,533.20 is: 215,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,396.62 : 620,183.46 = 143,533.20 : x
  2. Step 2: Convert to fraction form
    413,396.62/620,183.46 = 143,533.20/x
  3. Step 3: Cross multiply
    413,396.62x = 620,183.46 × 143,533.20
  4. Step 4: Simplify right side
    413,396.62x = 89,016,916,600.87
  5. Step 5: Solve for x
    x = 89,016,916,600.87/413,396.62
  6. Step 6: Final answer
    x = 215,330.54

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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.