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Finding the Fourth Proportional to 273,988, 410,982 and 76,996

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Solution

The fourth proportional to 273,988, 410,982 and 76,996 is: 115,494

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,988 : 410,982 = 76,996 : x
  2. Step 2: Convert to fraction form
    273,988/410,982 = 76,996/x
  3. Step 3: Cross multiply
    273,988x = 410,982 × 76,996
  4. Step 4: Simplify right side
    273,988x = 31,643,970,072
  5. Step 5: Solve for x
    x = 31,643,970,072/273,988
  6. Step 6: Final answer
    x = 115,494

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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.