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Finding the Fourth Proportional to 322,213.82, 483,054.62 and 142,171.06

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Solution

The fourth proportional to 322,213.82, 483,054.62 and 142,171.06 is: 213,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,213.82 : 483,054.62 = 142,171.06 : x
  2. Step 2: Convert to fraction form
    322,213.82/483,054.62 = 142,171.06/x
  3. Step 3: Cross multiply
    322,213.82x = 483,054.62 × 142,171.06
  4. Step 4: Simplify right side
    322,213.82x = 68,676,387,363.30
  5. Step 5: Solve for x
    x = 68,676,387,363.30/322,213.82
  6. Step 6: Final answer
    x = 213,139.17

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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.