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Finding the Fourth Proportional to 279,999, 419,998.50 and 83,007

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Solution

The fourth proportional to 279,999, 419,998.50 and 83,007 is: 124,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,999 : 419,998.50 = 83,007 : x
  2. Step 2: Convert to fraction form
    279,999/419,998.50 = 83,007/x
  3. Step 3: Cross multiply
    279,999x = 419,998.50 × 83,007
  4. Step 4: Simplify right side
    279,999x = 34,862,815,489.50
  5. Step 5: Solve for x
    x = 34,862,815,489.50/279,999
  6. Step 6: Final answer
    x = 124,510.50

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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.