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Finding the Fourth Proportional to 613,183.64, 919,775.70 and 275,830.16

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Solution

The fourth proportional to 613,183.64, 919,775.70 and 275,830.16 is: 413,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,183.64 : 919,775.70 = 275,830.16 : x
  2. Step 2: Convert to fraction form
    613,183.64/919,775.70 = 275,830.16/x
  3. Step 3: Cross multiply
    613,183.64x = 919,775.70 × 275,830.16
  4. Step 4: Simplify right side
    613,183.64x = 253,701,873,896.23
  5. Step 5: Solve for x
    x = 253,701,873,896.23/613,183.64
  6. Step 6: Final answer
    x = 413,745.34

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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.