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Finding the Fourth Proportional to 273,999, 410,998.50 and 77,007

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Solution

The fourth proportional to 273,999, 410,998.50 and 77,007 is: 115,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,999 : 410,998.50 = 77,007 : x
  2. Step 2: Convert to fraction form
    273,999/410,998.50 = 77,007/x
  3. Step 3: Cross multiply
    273,999x = 410,998.50 × 77,007
  4. Step 4: Simplify right side
    273,999x = 31,649,761,489.50
  5. Step 5: Solve for x
    x = 31,649,761,489.50/273,999
  6. Step 6: Final answer
    x = 115,510.50

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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.