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Finding the Fourth Proportional to 303,600, 455,400 and 81,984

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Solution

The fourth proportional to 303,600, 455,400 and 81,984 is: 122,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,600 : 455,400 = 81,984 : x
  2. Step 2: Convert to fraction form
    303,600/455,400 = 81,984/x
  3. Step 3: Cross multiply
    303,600x = 455,400 × 81,984
  4. Step 4: Simplify right side
    303,600x = 37,335,513,600
  5. Step 5: Solve for x
    x = 37,335,513,600/303,600
  6. Step 6: Final answer
    x = 122,976

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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.