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Finding the Fourth Proportional to 273,998, 410,997 and 77,006

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Solution

The fourth proportional to 273,998, 410,997 and 77,006 is: 115,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,998 : 410,997 = 77,006 : x
  2. Step 2: Convert to fraction form
    273,998/410,997 = 77,006/x
  3. Step 3: Cross multiply
    273,998x = 410,997 × 77,006
  4. Step 4: Simplify right side
    273,998x = 31,649,234,982
  5. Step 5: Solve for x
    x = 31,649,234,982/273,998
  6. Step 6: Final answer
    x = 115,509

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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.