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Finding the Fourth Proportional to 409,035.91, 613,834.12 and 142,796.42

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Solution

The fourth proportional to 409,035.91, 613,834.12 and 142,796.42 is: 214,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,035.91 : 613,834.12 = 142,796.42 : x
  2. Step 2: Convert to fraction form
    409,035.91/613,834.12 = 142,796.42/x
  3. Step 3: Cross multiply
    409,035.91x = 613,834.12 × 142,796.42
  4. Step 4: Simplify right side
    409,035.91x = 87,653,313,417.82
  5. Step 5: Solve for x
    x = 87,653,313,417.82/409,035.91
  6. Step 6: Final answer
    x = 214,292.47

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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.