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Finding the Fourth Proportional to 262,469.52, 393,712.92 and 84,978

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Solution

The fourth proportional to 262,469.52, 393,712.92 and 84,978 is: 127,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,469.52 : 393,712.92 = 84,978 : x
  2. Step 2: Convert to fraction form
    262,469.52/393,712.92 = 84,978/x
  3. Step 3: Cross multiply
    262,469.52x = 393,712.92 × 84,978
  4. Step 4: Simplify right side
    262,469.52x = 33,456,936,515.76
  5. Step 5: Solve for x
    x = 33,456,936,515.76/262,469.52
  6. Step 6: Final answer
    x = 127,469.80

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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.