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Finding the Fourth Proportional to 333,979, 500,997.66 and 84,661

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Solution

The fourth proportional to 333,979, 500,997.66 and 84,661 is: 126,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,979 : 500,997.66 = 84,661 : x
  2. Step 2: Convert to fraction form
    333,979/500,997.66 = 84,661/x
  3. Step 3: Cross multiply
    333,979x = 500,997.66 × 84,661
  4. Step 4: Simplify right side
    333,979x = 42,414,962,893.26
  5. Step 5: Solve for x
    x = 42,414,962,893.26/333,979
  6. Step 6: Final answer
    x = 126,998.89

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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.