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Finding the Fourth Proportional to 455,992, 683,988.24 and 123,568

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Solution

The fourth proportional to 455,992, 683,988.24 and 123,568 is: 185,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,992 : 683,988.24 = 123,568 : x
  2. Step 2: Convert to fraction form
    455,992/683,988.24 = 123,568/x
  3. Step 3: Cross multiply
    455,992x = 683,988.24 × 123,568
  4. Step 4: Simplify right side
    455,992x = 84,519,058,840.32
  5. Step 5: Solve for x
    x = 84,519,058,840.32/455,992
  6. Step 6: Final answer
    x = 185,352.07

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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.