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Finding the Fourth Proportional to 409,035.54, 613,833.56 and 142,796.05

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Solution

The fourth proportional to 409,035.54, 613,833.56 and 142,796.05 is: 214,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,035.54 : 613,833.56 = 142,796.05 : x
  2. Step 2: Convert to fraction form
    409,035.54/613,833.56 = 142,796.05/x
  3. Step 3: Cross multiply
    409,035.54x = 613,833.56 × 142,796.05
  4. Step 4: Simplify right side
    409,035.54x = 87,653,004,566.95
  5. Step 5: Solve for x
    x = 87,653,004,566.95/409,035.54
  6. Step 6: Final answer
    x = 214,291.90

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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.